On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties

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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