On Approximation Properties of Α-Baskakov Operators: Graphical Investigations

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Date

2025

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Springer

Abstract

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter alpha. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.

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Keywords

Shape Parameter α, α-Baskakov Operators, Weighted Modulus of Continuity, Pointwise Approximation, Graphical Analysis

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Source

Journal of Inequalities and Applications

Volume

2025

Issue

1

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