Journal article

A Kantorovich Type Generalization of the Szàsz Operators via Two Variable Hermite Polynomials

Abstract

The purpose of this paper is to give the Kantorovich generalization of the operators via two variable Hermite polynomials which are introduced by Krech [1] and to research approximating features with help of the classical modulus of continuity, the class of Lipschitz functions, Voronovskaya type asymptotic formula, second modulus of continuity and Peetre`s K - functional for these operators.

Keywords

Hermite polynomialKantorovich type generalizationModulus of continuityVoronovskaya type asymptotic formula

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