Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials

Year 2023, , 555 - 570, 31.12.2023

Gurhan İçöz , Shamsullah Zaland

https://doi.org/10.54287/gujsa.1386488

Abstract

This article is concerned with the sequence of operators of Stancu’s-type, involving extended Brenke polynomials. We apply Korovkin’s theorem to the sequence of positive linear operators, discuss the uniform approximation of continuous functions on closed bounded intervals by known tools theory, and also consider the second modulus of continuity, Peetre’s K-functional and Lipschitz class, which are essential concepts in approximation theory.

Keywords

Stancu-Type Operators, Sucu Operators, Kantorovich Type of the Operators, Kantorovich Stancu Type Linear Positive Operators

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