Weighted approximation by a certain family of summation integral-type operators

Yuksel İ., Ispir N.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.52, sa.10-11, ss.1463-1470, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 10-11
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.camwa.2006.08.031
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1463-1470
  • Anahtar Kelimeler: summation integral-type operators, rate of convergence, weighted approximation, weighted modulus of continuity, Korovkin-type theorem
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we investigate the weighted approximation properties of a general sequence of summation integral-type operators introduced by Srivastava and Gupta [1]. We estimate the rate of convergence of these operators for functions of polynomial growth in terms of weighted modulus of continuity on the interval [0,infinity). (c) 2006 Elsevier Ltd. All rights reserved.