A note on approximation of blending type Bernstein-Schurer-Kantorovich operators with shape parameter α

The objective of this paper is to construct univariate and bivariate blending type α-Schurer-Kantorovich operators depending on two parameters α∈[0,1] and ρ>0 to approximate a class of measurable functions on [0,1+q],q>0. We present some auxiliary results and obtain the rate of convergence of...

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Bibliographic Details
Main Authors: Ayman-Mursaleen, Mohammad, Rao, Nadeem, Rani, Mamta, Kilicman, Adem, Al-Abied, Ahmed Ahmed Hussin Ali, Malik, Pradeep
Format: Article
Published: Hindawi 2023
Online Access:http://psasir.upm.edu.my/id/eprint/106584/
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Summary:The objective of this paper is to construct univariate and bivariate blending type α-Schurer-Kantorovich operators depending on two parameters α∈[0,1] and ρ>0 to approximate a class of measurable functions on [0,1+q],q>0. We present some auxiliary results and obtain the rate of convergence of these operators. Next, we study the global and local approximation properties in terms of first- and second-order modulus of smoothness, weight functions, and by Peetre's K-functional in different function spaces. Moreover, we present some study on numerical and graphical analysis for our operators.