Generalized Baskakov Kantorovich Operators

TL;DR

This paper introduces generalized Baskakov Kantorovich operators and explores their approximation properties, convergence, and rate of convergence for functions with derivatives of bounded variation.

Contribution

The paper develops a new class of generalized Baskakov Kantorovich operators and analyzes their approximation, convergence, and rate of convergence properties.

Findings

Established direct approximation results.

Analyzed weighted and simultaneous approximation.

Derived the rate of convergence for specific function classes.

Abstract

In this paper, we construct generalized Baskakov Kantorovich operators. We establish some direct results and then study weighted approximation, simultaneous approximation and statistical convergence properties for these operators. Finally, we obtain the rate of convergence for functions having a derivative coinciding almost everywhere with a function of bounded variation for these operators