Strong summation process in locally integrable function spaces
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.45, no.3, pp.683-694, 2016 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 45 Issue: 3
- Publication Date: 2016
- Doi Number: 10.15672/hjms.20164513102
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.683-694
- Keywords: A-summability, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence, KOROVKIN-TYPE, CONVERGENCE
- Ankara University Affiliated: Yes
Abstract
In this paper, 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,L-q (loc) into itself. We also study modulus of continuity for L-p,L-q (loc) approximation and give the rate of convergence of these operators.