Statistical approximation properties of (p, q)-Szasz-Mirakjan Kantorovich operators

TL;DR

This paper investigates the statistical approximation capabilities of (p, q)-Szasz-Mirakjan Kantorovich operators, establishing convergence rates using modulus of continuity and Lipschitz functions, based on Korovkin's theorem.

Contribution

It introduces the statistical approximation properties of (p, q)-Szasz-Mirakjan Kantorovich operators and derives convergence rates using new analytical tools.

Findings

Established statistical convergence of the operators

Derived rates of convergence using modulus of continuity

Applied Lipschitz maximal functions for approximation analysis

Abstract

The main aim of this study is to introduce statistical approximation properties of (p; q)-Szasz Mirakjan Kantorovich operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established.