Approximation by Stancu-Chlodowsky polynomials

Buyukyazici I.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.1, ss.274-282, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.camwa.2009.07.054
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.274-282
  • Anahtar Kelimeler: Stancu polynomials, Chlodowsky polynomials, Order of convergence, Weighted approximation
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we investigate convergence and approximation properties of a Chlodowsky type generalization of Stancu polynomials (we called Stancu-Chlodowsky polynomials). The rates of convergence of this generalization are obtained by means of modulus of continuity and by using the K-functional of Peetre. We also present and prove theorems on weighted approximation and the order of approximation of continuous functions by these operators on all positive semi-axis. (C) 2009 Elsevier Ltd. All rights reserved.