A Note on Approximation of Blending Type Bernstein–Schurer–Kantorovich Operators with Shape Parameter α

Mohammad Ayman-Mursaleen, Nadeem Rao, Mamta Rani, Adem Kilicman, Ahmed Ahmed Hussin Ali Al-Abied, Pradeep Malik and R. U. Gobithaasan

Journal of Mathematics, 2023, vol. 2023, 1-13

Abstract: 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 Ï >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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5245806

DOI: 10.1155/2023/5245806

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