Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions

Agrawal P. N., İSPİR N., Kajla A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.259, ss.533-539, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 259
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.03.014
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.533-539
  • Anahtar Kelimeler: Bezier operators, Summation integral type operators, Polya distribution, Rate of convergence, Bounded variation, CONVERGENCE, DERIVATIVES, POLYNOMIALS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this article we introduce the Bezier variant of summation integral type operators having Polya and Bernstein basis functions. We give a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. (C) 2015 Elsevier Inc. All rights reserved.