Approximation by generalized Stancu-Kantorovich operators

Year 2025, Volume: 74 Issue: 3, 503 - 512, 23.09.2025

Selver Yeter , Nursel Çetin

https://doi.org/10.31801/cfsuasmas.1519351

Abstract

In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters. Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates for the rate of convergence by using moduli of smoothness of the first and the second order. Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.

Keywords

Kantorovich operators , Schurer operators , Stancu operators , Stancu-Kantorovich operators , modulus of continuity , Peetre’s K-functional

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