GBS Operators of LupaAY-Durrmeyer Type Based on Polya Distribution

Agrawal P. N., İSPİR N., Kajla A.

RESULTS IN MATHEMATICS, cilt.69, ss.397-418, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00025-015-0507-6
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.397-418
  • Anahtar Kelimeler: Lupas-Durrmeyer operators, B-continuous function, B-differentiable function, GBS operators, Polya distribution, mixed modulus of smoothness, STANCU TYPE, K-FUNCTIONALS, APPROXIMATION, SMOOTHNESS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we study an extension of the bivariate LupaAY-Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre's K-functional. Then, we construct the Generalized Boolean Sum operators of LupaAYaEuro"Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.