Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupaş operators-Reference-Cited by-同舟云学术

Approximation properties and q-statistical convergence of Kantorovich variant of Stancu type Lupaş operators

Published:2023 Issue:29 Volume:37 Page:10107-10124
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Malik Gufran¹,Khan Taqseer¹,Mursaleen M.²

Affiliation:

1. Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India

2. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan + Department of Mathematics, Aligarh Muslim University, Aligarh, India

Abstract

We introduce Kantorovich variant of Stancu-Lupas? operators and study convergence and qstatistical convergence properties using Korovkin theorem. Rate of convergence is analyzed in terms of modulus of continuity, elements of Lipschitz class and Peetre?s K-functional. Direct theorems are proved and Voronovskaja type theorem is established. Graphical analysis of convergence and error estimations are presented with the help of MATLAB.

Publisher

National Library of Serbia

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