Approximation theorems for Kantorovich type Lupaş-Stancu operators based on \(q\)-integers

Main Article Content

Sevilay Kirci Serenbay Özge Dalmanoğlu

Abstract

In this paper, we introduce a Kantorovich generalization of q-Stancu-Lupa¸s operators and investigate their approximation properties. The rate of convergence of these operators are obtained by means of modulus of continuity, functions of Lipschitz class and Peetre's K-functional. We also investigate the convergence of the operators in the statistical sense and give a numerical example in order to estimate the error in the approximation.

Article Details

How to Cite
Section
Articles