Strong summation process in L-p spaces

Sakaoglu I., ORHAN C.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.86, pp.89-94, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86
  • Publication Date: 2013
  • Doi Number: 10.1016/j.na.2013.03.010
  • Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.89-94
  • Keywords: A-summability, Positive linear operator, Korovkin type theorem, Second-order modulus of smoothness, Quantitative estimates, Rate of convergence, APPROXIMATION, SUMMABILITY
  • Ankara University Affiliated: Yes

Abstract

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.