https://nova.newcastle.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 Symmetry and the monotonicity of certain Riemann sums https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:42654 Wed 31 Aug 2022 13:02:35 AEST ]]> Structure theory for maximally monotone operators with points of continuity https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:16127 Wed 27 Jul 2022 14:01:20 AEST ]]> Convex analysis in groups and semigroups: a sampler https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:35977 Wed 22 Jan 2020 12:27:08 AEDT ]]> Ancient Indian square roots: an exercise in forensic Paleo-mathematics https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12967 Wed 11 Apr 2018 17:22:28 AEST ]]> Experimental mathematics and computational statistics https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:7550 Wed 11 Apr 2018 17:17:34 AEST ]]> Exploratory experimentation and computation https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12975 Wed 11 Apr 2018 16:51:30 AEST ]]> A sinc that sank https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12911 Wed 11 Apr 2018 16:24:36 AEST ]]> The Brezis–Browder Theorem in a general Banach space https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12912 Wed 11 Apr 2018 16:03:52 AEST ]]> Maximum entropy and feasibility methods for convex and nonconvex inverse problems https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12942 Wed 11 Apr 2018 15:51:14 AEST ]]> Experimental computation with oscillatory integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:10649 Wed 11 Apr 2018 15:40:07 AEST ]]> Uniformly convex functions on Banach Spaces https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:7553 Wed 11 Apr 2018 15:33:04 AEST ]]> Closed forms: what they are and why we care https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12970 Wed 11 Apr 2018 15:20:08 AEST ]]> Variational methods in the presence of symmetry https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13495 Wed 11 Apr 2018 15:11:05 AEST ]]> Special values of generalized log-sine integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13512 Wed 11 Apr 2018 14:56:45 AEST ]]> Ramanujan and Pi https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12976 Wed 11 Apr 2018 14:52:58 AEST ]]> Recent results on Douglas-Rachford methods https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:20518 Wed 11 Apr 2018 14:50:28 AEST ]]> Euler-Boole summation revisited https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12948 Wed 11 Apr 2018 13:51:46 AEST ]]> Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:20458 Wed 11 Apr 2018 13:51:05 AEST ]]> Three-step and four-step random walk integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12926 4(± 1) are given and two new conjectures are recorded.]]> Wed 11 Apr 2018 13:49:54 AEST ]]> Maths matters: exploratory experimentation: digitally-assisted discovery and proof https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12977 Wed 11 Apr 2018 13:41:27 AEST ]]> Lp norms and the sinc function https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11528 Wed 11 Apr 2018 13:27:07 AEST ]]> Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:22219 Wed 11 Apr 2018 12:44:31 AEST ]]> Organic mathematics: then and now https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13510 Wed 11 Apr 2018 12:43:27 AEST ]]> The Princeton companion to mathematics (book review) https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:7551 Wed 11 Apr 2018 12:35:57 AEST ]]> An explicit non-expansive function whose subdifferential is the entire dual ball https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11946 Wed 11 Apr 2018 11:53:35 AEST ]]> Construction of pathological maximally monotone operators on non-reflexive Banach spaces https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12910 0 or its dual ℓ¹, admits a non type (D) operator. The existence of non type (D) operators in spaces containing ℓ¹ or c 0 has been proved recently by Bueno and Svaiter.]]> Wed 11 Apr 2018 11:52:13 AEST ]]> Global convergence of a non-convex Douglas-Rachford iteration https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13497 Wed 11 Apr 2018 11:19:02 AEST ]]> Stability of closedness of convex cones under linear mappings II https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11145 Wed 11 Apr 2018 11:16:27 AEST ]]> Nonnormality of Stoneham constants https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12923 b,c = Σn≥1 1/(cnbcn), for coprime integers b ≥ 2 and c ≥ 2. These are of interest because, according to previous studies, αb,c is known to be b-normal, meaning that every m-long string of base-b digits appears in the base-b expansion of the constant with precisely the limiting frequency b-m. So, for example, the constant α2,3 = Σn≥1 1/(3n23n) is 2-normal. More recently it was established that αb,c is not bc-normal, so, for example,α2,3 is provably not 6-normal. In this paper, we extend these findings by showing that αb,c is not B-normal, where B = bpcq r, for integers b and c as above, p, q, r ≥ 1, neither b nor c divide r, and the condition D=cq/pr1/p/bc-1 < 1 is satisfied. It is not known whether or not this is a complete catalog of bases to which αb,c is nonnormal. We also show that the sum of two B-nonnormal Stoneham constants as defined above, subject to some restrictions, is B-nonnormal.]]> Wed 11 Apr 2018 10:56:19 AEST ]]> Log-sine evaluations of Mahler measures https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12988 Wed 11 Apr 2018 10:48:30 AEST ]]> A short walk can be beautiful https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:27989 Wed 11 Apr 2018 10:39:20 AEST ]]> Future challenges for variational analysis https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13530 Wed 11 Apr 2018 10:15:55 AEST ]]> On formulas for π experimentally conjectured by Jauregui–Tsallis https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12972 Wed 11 Apr 2018 10:04:16 AEST ]]> The computation of previously inaccessible digits of π² and Catalan's constant https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13722 Wed 11 Apr 2018 09:55:47 AEST ]]> Log-Sine Evaluations of Mahler Measures, II https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12973 Wed 11 Apr 2018 09:50:53 AEST ]]> Compressed lattice sums arising from the Poisson equation https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12969 0, x, y are real numbers and Odenotes the odd integers. In this paper we first survey the earlier work and then discuss the sum (1) more completely. Conclusions: As in the previous study, we find some surprisingly simple closed-form evaluations of these sums. In particular, we find that in some cases these sums are given by 1/π logA, where A is an algebraic number. These evaluations suggest that a deep theory interconnects all such summations.]]> Wed 11 Apr 2018 09:47:17 AEST ]]> Some arithmetic properties of short random walk integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12247 Wed 11 Apr 2018 09:16:08 AEST ]]> Appendix to 'Dynamics of the Douglas-Rachford method for ellipses and p-spheres' https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:26363 Wed 05 Sep 2018 18:27:57 AEST ]]> Dynamics of the Douglas-Rachford method for ellipses and p-spheres https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:34529 Tue 03 Sep 2019 18:08:17 AEST ]]> Computer Discovery and Analysis of Large Poisson Polynomials https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:32052 m, n oddcos (mπx)cos (nπy)/(m2 + n2) = log A, where  A is an algebraic number, and explicit minimal polynomials associated with A were computed for a few specific rational arguments x and y. Based on these results, one of us (Kimberley) conjectured a number-theoretic formula for the degree of A in the case x = y = 1/s for some integer s. These earlier studies were hampered by the enormous cost and complexity of the requisite computations. In this study, we address the Poisson polynomial problem with significantly more capable computational tools. As a result of this improved capability, we have confirmed that Kimberley’s formula holds for all integers s up to 52 (except for s = 41, 43, 47, 49, 51, which are still too costly to test), and also for s = 60 and s = 64. As far as we are aware, these computations, which employed up to 64,000-digit precision, producing polynomials with degrees up to 512 and integer coefficients up to 10229, constitute the largest successful integer relation computations performed to date. By examining the computed results, we found connections to a sequence of polynomials defined in a 2010 paper by Savin and Quarfoot. These investigations subsequently led to a proof, given in the Appendix, of Kimberley’s formula and the fact that when s is even, the polynomial is palindromic (i.e., coefficient ak = am − k, where m is the degree).]]> Thu 26 Apr 2018 11:36:50 AEST ]]> Do financial gurus produce reliable forecasts? https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:39623 Thu 16 Jun 2022 11:25:13 AEST ]]> Fifty years of maximal monotonicity https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:9420 Sat 24 Mar 2018 10:47:06 AEDT ]]> On difference convexity of locally Lipschitz functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13522 Sat 24 Mar 2018 10:37:19 AEDT ]]> The Douglas-Rachford algorithm in the absence of convexity https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13520 Sat 24 Mar 2018 10:37:19 AEDT ]]> Walking on real numbers https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12958 Sat 24 Mar 2018 10:37:17 AEDT ]]> Mahler measures, short walks and log-sine integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12927 Sat 24 Mar 2018 10:37:10 AEDT ]]> An empirical approach to the normality of pi https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12928 Sat 24 Mar 2018 10:37:10 AEDT ]]> Entropic regularization of the ℓ<sub>0</sub> function https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13519 0 metric, is usually avoided since this leads to a combinatorial optimization problem. The function ∥x∥0 is often viewed as the limit of the ℓp metrics. Naturally, there have been some attempts to use this as an objective for p small, though this is a nonconvex function for p  <  1. We propose instead a scaled and shifted Fermi-Dirac entropy with two parameters, one controlling the smoothness of the approximation and the other the steepness of the metric. Our proposed metric is a convex relaxation for which a strong duality theory holds, yielding dual methods for metrics approaching the desired ∥⋅∥0 function. Without smoothing, we propose a dynamically reweighted subdifferential descent method with “exact” line search that is finitely terminating for constraints that are well-separated. This algorithm is shown to recapture in a special case certain well-known “greedy” algorithms. Consequently we are able to provide an explicit algorithm whose fixed point, under the appropriate assumptions, is the sparsest possible solution. The variational perspective yields general strategies to make the algorithm more robust.]]> Sat 24 Mar 2018 10:37:06 AEDT ]]> Hand-to-hand combat with thousand-digit integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12944 Sat 24 Mar 2018 10:36:36 AEDT ]]> Duality and convex programming https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13524 Sat 24 Mar 2018 10:35:14 AEDT ]]> Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13511 Sat 24 Mar 2018 10:34:54 AEDT ]]> Experimental mathematics and mathematical physics https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11558 Sat 24 Mar 2018 10:33:09 AEDT ]]> Duality in tails of multiple-zeta values https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11248 Sat 24 Mar 2018 10:32:56 AEDT ]]> Infimal convolutions and lipschitzian properties of subdifferentials for prox-regular functions in hilbert spaces https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:9909 Sat 24 Mar 2018 10:31:59 AEDT ]]> Fréchet-legendre functions and reflexive banach spaces https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:9904 Sat 24 Mar 2018 10:31:31 AEDT ]]> Loving and Hating Mathematics by Reuben Hersh & Vera John-Steiner (book review) https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11718 Sat 24 Mar 2018 10:31:22 AEDT ]]> Higher-dimensional box integrals https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:10329 Sat 24 Mar 2018 10:31:09 AEDT ]]> Stability of closedness of convex cones under linear mappings https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:7182 Sat 24 Mar 2018 08:34:13 AEDT ]]> Normal Numbers and Pseudorandom Generators https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:15946 0, every m-long string of digits in the base-b expansion of α appears, in the limit, with frequency b-m. Although almost all reals in [0, 1] are b-normal for every b, it has been rather difficult to exhibit explicit examples. No results whatsoever are known, one way or the other, for the class of “natural” mathematical constants, such as π,e,2√ and log2. In this paper, we summarize some previous normality results for a certain class of explicit reals and then show that a specific member of this class, while provably 2-normal, is provably not 6-normal. We then show that a practical and reasonably effective pseudorandom number generator can be defined based on the binary digits of this constant and conclude by sketching out some directions for further research.]]> Sat 24 Mar 2018 08:23:41 AEDT ]]> A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14703 Sat 24 Mar 2018 08:19:06 AEDT ]]> On Eulerian log-gamma integrals and Tornheim–Witten zeta functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12922 n = ∫₀¹lognΓ(x)dx for 1≤n≤4 and make some comments regarding the general case. The subsidiary computational challenges are substantial, interesting and significant in their own right]]> Sat 24 Mar 2018 08:18:13 AEDT ]]> Symbolic Fenchel conjugation https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12940 n. These algorithms are realized in the form of the Maple package SCAT.]]> Sat 24 Mar 2018 08:17:39 AEDT ]]> Response to "Experimental approaches to theoretical thinking: artefacts and proofs" https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12416 Sat 24 Mar 2018 08:14:54 AEDT ]]> Uniform bounds for the complementary incomplete gamma function https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12968 c|a − 1|} with a real and z complex. Our results show that within the hyperboloid, |Г(a, z)| is of order |z|a−1e−Re(z), and extends an upper estimate of Natalini and Palumbo to complex values of z.]]> Sat 24 Mar 2018 08:14:42 AEDT ]]> Convex functions: constructions, characterizations and counterexamples https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:9773 Sat 24 Mar 2018 08:09:05 AEDT ]]> Densities of short random uniform walks https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:11904 Sat 24 Mar 2018 08:08:57 AEDT ]]> A cyclic Douglas-Rachford iteration scheme https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:18073 Sat 24 Mar 2018 08:06:13 AEDT ]]> Legendre-type integrands and convex integral functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:20926 Sat 24 Mar 2018 08:06:12 AEDT ]]> On lattice sums and Wigner limits https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:20817 Sat 24 Mar 2018 08:05:54 AEDT ]]> Expectations on fractal sets https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:19060 Sat 24 Mar 2018 08:05:25 AEDT ]]> Automated simplification of large symbolic expressions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:21382 ixi with αi rational and xi complex. The included algorithms, called SimplifySum2 and implemented in Mathematica, remove redundant terms, attempt to make terms and the full expression real, and remove terms using repeated application of the multipair PSLQ integer relation detection algorithm. Also included are facilities for making substitutions according to user-specified identities. We illustrate this toolset by giving some real-world examples of its usage, including one, for instance, where the tool reduced a symbolic expression of approximately 100 000 characters in size enough to enable manual manipulation to one with just four simple terms.]]> Sat 24 Mar 2018 08:04:58 AEDT ]]> Conditions for zero duality gap in convex programming https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:21070 Sat 24 Mar 2018 07:59:25 AEDT ]]> Douglas-rachford feasibility methods for matrix completion problems https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:19631 Sat 24 Mar 2018 07:58:14 AEDT ]]> Random walks in the plane. https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:16327 Sat 24 Mar 2018 07:58:01 AEDT ]]> On the solution of linear mean recurrences https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:19133 Sat 24 Mar 2018 07:55:54 AEDT ]]> Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:20685 Sat 24 Mar 2018 07:55:38 AEDT ]]> Constructions of uniformly convex functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:16140 Sat 24 Mar 2018 07:55:17 AEDT ]]> Applications of convex analysis within mathematics https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:19192 Sat 24 Mar 2018 07:55:02 AEDT ]]> Some results on the convexity of the closure of the domain of a maximally monotone operator https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:19191 Sat 24 Mar 2018 07:55:02 AEDT ]]> Monotone operators and "bigger conjugate" functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:16166 Sat 24 Mar 2018 07:52:27 AEDT ]]> Sum theorems for maximally monotone operators of type (FPV) https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:21030 A + B provided that A and B are maximally monotone operators such that star(dom A) ∩ int dom B ≠ ∅, and A is of type (FPV). We show that when also dom A is convex, the sum operator A + B is also of type (FPV). Our result generalizes and unifies several recent sum theorems.]]> Sat 24 Mar 2018 07:50:34 AEDT ]]> Recent progress on monotone operator theory https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:26270 Sat 24 Mar 2018 07:40:16 AEDT ]]> A variational approach to Lagrange multipliers https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:27999 Sat 24 Mar 2018 07:38:40 AEDT ]]> The cyclic Douglas-Rachford method for inconsistent feasibility problems https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:28000 Sat 24 Mar 2018 07:38:40 AEDT ]]> Reproducibility in computational science: a case study: randomness of the digits of pi https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:31017 computational and experimental mathematics. is now a full-fledged discipline with mathematics, and the larger field of computational science is now taking its place as an experimental discipline on a par with traditional experimental fields. In this new realm, reproducibility comes to the forefront as an essential part of the computational research enterprise, and establishing procedures to ensure and facilitate reproducibility is now a central focus of researchers in the field. In this study, we describe our attempts to reproduce the results of a recently published article by Reinhard Ganz, who concluded that the decimal expansion of p is not statistically random, based on an analysis of several trillion decimal digits provided by Yee and Kondo. While we are able to reproduce the specific findings of Ganz, additional statistical analysis leads us to reject his overall conclusion.]]> Sat 24 Mar 2018 07:34:53 AEDT ]]> Norm convergence of realistic projection and reflection methods https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:26750 Sat 24 Mar 2018 07:24:44 AEDT ]]> Recent results on Douglas-Rachford methods for combinatorial optimization problems https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:28771 Sat 24 Mar 2018 07:23:45 AEDT ]]> Densities of short uniform random walks in higher dimensions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24454 Sat 24 Mar 2018 07:17:23 AEDT ]]> The legacy of Kurt Mahler https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:23671 Sat 24 Mar 2018 07:16:51 AEDT ]]> Nearest points and delta convex functions in Banach spaces https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24006 C in a Banach space (X, || · ||), a point x ∈ X is said to have a nearest point in C if there exists z ∈ C such that dC(x) = ||x - z||, where dC is the distance of x from C. We survey the problem of studying the size of the set of points in X which have nearest points in C. We then turn to the topic of delta convex functions and indicate how it is related to finding nearest points.]]> Sat 24 Mar 2018 07:16:42 AEDT ]]> Some remarks on convex analysis in topological groups https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:25161 Sat 24 Mar 2018 07:14:30 AEDT ]]> I prefer pi: a brief history and anthology of articles in the American Mathematical Monthly https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:23028 Sat 24 Mar 2018 07:13:51 AEDT ]]> Experimental computation as an ontological game changer: the impact of modern mathematical computation tools on the ontology of mathematics https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:23327 Sat 24 Mar 2018 07:13:30 AEDT ]]> Relations for Nielsen polylogarithms https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:22781 Sat 24 Mar 2018 07:12:17 AEDT ]]> On Eulerian log-gamma integrals and Tornheim-Witten zeta functions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:22779 Sat 24 Mar 2018 07:12:15 AEDT ]]> A closed form for the density fucntions of random walks in odd dimensions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24750 Sat 24 Mar 2018 07:11:02 AEDT ]]> Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24058 Sat 24 Mar 2018 07:09:42 AEDT ]]> Continued logarithms and associated continued fractions https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:32609 Mon 25 Jun 2018 12:57:26 AEST ]]> Convergence rate analysis for averaged fixed point iterations in common fixed point problems https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:32608 Mon 25 Jun 2018 12:57:21 AEST ]]> Monotone operators without enlargements https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:18770 Fri 24 Jul 2015 11:10:13 AEST ]]>