DEGREE OF APPROXIMATION FOR BIVARIATE SZASZ-KANTOROVICH TYPE BASED ON BRENKE TYPE POLYNOMIALS

Begen S., İnce İlarslan H. G.

HONAM MATHEMATICAL JOURNAL, cilt.42, ss.251-268, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5831/hmj.2020.42.2.251
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.251-268
  • Anahtar Kelimeler: Szasz-Kantorovich operators, Brenke polynomials, complete modulus of continuity, partial modulus of continuity, Peetre's K-functional, GBS operators, B-continuity, mixed modulus of continuity, Lipschitz class of B-continuous functions, OPERATORS, VARIANT
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we estimate the degree of approximation by means of the complete modulus of continuity, the partial modulus of continuity, the Lipschitz-type class and Petree's K-functional for the bivariate Szasz-Kantorovich operators based on Brenke-type polynomials. Later, we construct Generalized Boolean Sum operators associated with combinations of the Szasz-Kantorovich operators based on Brenke-type polynomials. In addition, we obtain the rate of convergence for the GBS operators with the help of the mixed modulus of continuity and the Lipschitz class of the Bogel continuous functions.