A generalization of Young's ℓ<sup>p</sup> inequality

Title: A generalization of Young's ℓ^p inequality
Creator: Borwein, Jonathan M.
Relation: Mathematical Inequalities & Applications Vol. 1, Issue 1, p. 131-136
Publisher Link: http://dx.doi.org/10.7153/mia-01-11
Publisher: Element d.o.o.
Resource Type: journal article
Date: 1998
Description: We show that, for positive real numbers with a ≥ 1 + ∑^N_i α_i, the function [formula cannot be replicated] has a convex conjugate of the same form and so, in particular, obtain a clean proof that f is convex.
Subject: Fenchel conjugate; Young’s ℓ<sup>p</sup>-inequality; convexity
Identifier: http://hdl.handle.net/1959.13/940788
Identifier: uon:13103
Identifier: ISSN:1331-4343
Language: eng
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A generalization of Young's ℓp inequality