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

Year 2017, Volume: 30 Issue: 4, 432 - 440, 11.12.2017

Serdal Yazıcı , Bayram Çekim

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 polynomial, Kantorovich type generalization, Modulus of continuity, Voronovskaya type asymptotic formula

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