A New Modification of Baskakov–Schurer–Stancu Operators: Weighted and Pointwise Approximation Theories

Read full text
Authors: Nadire Fulda Odabaşı, Mohammad Farid, Nadeem Rao, Reşat Aslan
Cited by: 10
References: 14

Abstract

The behavior of a new modification of operators of the Baskakov–Schurer–Stancu variant is discussed in this study. First, we establish certain necessary moment and central moment estimates. We then demonstrate the weighted approximation result of the suggested operators using a Korovkin-type theorem in weighted spaces. We also give the rate at which these operators converge. Next, we establish theorems of pointwise convergence. Finally, we show several graphical representations to illustrate the accuracy and functionality of the operators.

Fields of Study & Subjects

Approximation Theory and Sequence Spaces Fixed Point Theorems Analysis Holomorphic and Operator Theory

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
2
Pages
241–241
Publication date
8 January 2026
Language
EN