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

Yazıcı S., Çekim B.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.30, sa.4, ss.432-440, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.432-440
  • Anahtar Kelimeler: Hermite polynomial, Kantorovich type generalization, Modulus of continuity, Voronovskaya type asymptotic formula, POISSON INTEGRALS
  • Gazi Üniversitesi Adresli: Evet

Özet

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.