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


YAZICI S., ÇEKİM B.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.30, no.4, pp.432-440, 2017 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2017
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index, Scopus
  • Page Numbers: pp.432-440
  • Keywords: Hermite polynomial, Kantorovich type generalization, Modulus of continuity, Voronovskaya type asymptotic formula, POISSON INTEGRALS

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.