Approximation properties by generalized Baskakov Kantorovich Stancu type operators

TL;DR

This paper introduces a new class of generalized Baskakov Kantorovich Stancu type operators and studies their approximation properties using various mathematical tools such as modulus of continuity and Lipschitz classes.

Contribution

The paper presents a novel generalization of Baskakov Kantorovich Stancu operators and analyzes their approximation capabilities with new theoretical results.

Findings

Operators effectively approximate functions in various classes.

Established bounds using modulus of continuity and Lipschitz conditions.

Proved convergence and approximation rates for the new operators.

Abstract

In this paper, we introduce generalized Baskakov Kantorovich Stancu type operators and investigate direct result, local approximation and weighted approximation properties of these operators. Modulus of continuity, second modulus of continuity, Peeters K-functional, weighted modulus of continuity and Lipschitz class are considered to prove our results.