Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials

Erkus E., Duman O., Srivastava H. M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.182, sa.1, ss.213-222, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 182 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2006.01.090
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.213-222
  • Anahtar Kelimeler: Chan-Chyan-Srivastava multivariable polynomials, Lagrange polynomials, A-statistical convergence, positive linear operators, Korovkin approximation theorem, Fourier series, Gibbs phenomenon, modulus of continuity, lipschitz class, CONVERGENCE
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this study, by obtaining some Korovkin type approximation results in statistical sense for certain positive linear operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials [W.-C.C. Chan, C.-J. Chyan, H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transform. Spec. Funct. 12 (2001) 139-148], we show that our approximation method is stronger than the corresponding classical aspects in the approximation theory settings. Furthermore, we investigate their statistical rates by means of the modulus of continuity and the elements of the Lipschitz class. (c) 2006 Elsevier Inc. All rights reserved.