Strong summation process in L-p spaces

Sakaoglu I., ORHAN C.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.86, ss.89-94, 2013 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 86
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.na.2013.03.010
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.89-94
  • Anahtar Kelimeler: A-summability, Positive linear operator, Korovkin type theorem, Second-order modulus of smoothness, Quantitative estimates, Rate of convergence, APPROXIMATION, SUMMABILITY
  • Ankara Üniversitesi Adresli: Evet

Özet

Using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p[a, b] into itself. We also study some quantitative estimates for L-p approximation and give the rate of convergence of these operators. (C) 2013 Elsevier Ltd. All rights reserved.