APPROXIMATION BY THE SUMMATION INTEGRAL TYPE OPERATORS BASED ON LUPAS-SZASZ BASIS FUNCTIONS

Manav N., İSPİR N.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.853-868, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.853-868
  • Anahtar Kelimeler: Durrmeyer-type operators, rate of convergence, moduli of countunity, Petree-K funtional
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, the summation integral type operators based on Lupas and Szasz basis functions are introduced. The degree of approximation of these operators is examined in terms of Ditzian-Totik modulus of smoothness and corresponding K-functional. The rate of convergence by means of the Lipschitz class and the Lipschitz type maximal function is investigated. Furtermore, the properties of weigthed approximation and Voronoskaja type theorem in weighted spaces are obtained. The advantages of these operators are shown by some graphics and numerical calculations.