Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials

Erkus-Duman E., DUMAN O.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.5, ss.1927-1933, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.07.004
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1927-1933
  • Anahtar Kelimeler: Chan-Chyan-Srivastava multivariable polynomials, A-statistical convergence, A-statistical rates, The Korovkin theorem, Modulus of continuity, POSITIVE LINEAR-OPERATORS, ZELLER TYPE OPERATORS, LAGRANGE POLYNOMIALS, MEYER-KONIG, CONVERGENCE, VARIABLES, THEOREMS, RATES
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, by including high order derivatives of functions being approximated, we introduce a general family of the linear positive operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials and study a Korovkin-type approximation result with the help of the concept of A-statistical convergence, where A is any non-negative regular summability matrix. We obtain a statistical approximation result for our operators, which is more applicable than the classical case. Furthermore, we study the A-statistical rates of our approximation via the classical modulus of continuity. (C) 2011 Elsevier Inc. All rights reserved.