A Korovkin type approximation theorem for Balázs type Bleimann, Butzer and Hahn operators via power series statistical convergence

Authors

  • Dilek Söylemez Selcuk University

DOI:

https://doi.org/10.1515/ms-2022-0011

Abstract

In this paper, we obtain a Korovkin type approximation theorem for power series statistical convergence of functions belonging to the class produced by multivariable modulus of continuity function. As an application of this theorem, we construct a non-tensor product Balazs type BBH operator which does not converge in ordinary sense. Moreover, we study promised approximation properties of this operator and compute the rate of convergence. Finally, we prove that our new approximation result works but its classical case fails.

Author Biography

Dilek Söylemez, Selcuk University

Department of Mathematics
Faculty of Science
Selcuk University
Selcuklu 42003 Konya
TURKEY

Published

2022-03-02

Issue

Section

Articles - Other topics