Statistical approximation by a modification of q-Meyer-Konig and Zeller operators

Dogru O., ÖRKCÜ M.

APPLIED MATHEMATICS LETTERS, cilt.23, sa.3, ss.261-266, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2009.09.018
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.261-266
  • Anahtar Kelimeler: MKZ operators, The Korovkin type approximation theorem, Modulus of continuity, q-MKZ operators
  • Gazi Üniversitesi Adresli: Evet

Özet

In this work, we introduce a modification of the q-Meyer-Konig and Zeller operators, and investigate the Korovkin type statistical approximation properties of this modification via A-statistical convergence. Also we prove that this modification provides a better estimation than the q-MKZ operators on the interval [alpha(n), 1) subset of [1/2, 1) by means of the modulus of continuity. (C) 2009 Elsevier Ltd. All rights reserved.