- Title
- On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties
- Creator
- Heshamuddin, Md.; Rao, Nadeem; Lamichhane, Bishnu P.; Kilicman, Adem; Ayman-Mursaleen, Mohammad
- Relation
- Mathematics Vol. 10, Issue 18, no. 3227
- Publisher Link
- http://dx.doi.org/10.3390/math10183227
- Publisher
- MDPI AG
- Resource Type
- journal article
- Date
- 2022
- Description
- The goal of this research article is to introduce a sequence of 𝛼–Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis and convergence of the operators for certain functions are presented numerically and graphically. Furthermore, two-dimensional 𝛼–Stancu–Schurer–Kantorovich operators are constructed and their rate of convergence, graphical representation of approximation and numerical error estimates are presented.
- Subject
- rate of convergence; order of approximation; modulus of continuity; weighted approximation; A-statistical approximation
- Identifier
- http://hdl.handle.net/1959.13/1491833
- Identifier
- uon:53230
- Identifier
- ISSN:2227-7390
- Rights
- X
- Language
- eng
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