Korovkin-Type Theorems for ModularΨ-A-Statistical Convergence-Reference-Cited by-同舟云学术

Korovkin-Type Theorems for ModularΨ-A-Statistical Convergence

Published:2015 Issue: Volume:2015 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Bardaro Carlo¹,Boccuto Antonio¹,Demirci Kamil²,Mantellini Ilaria¹,Orhan Sevda²

Affiliation:

1. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

2. Department of Mathematics, Faculty of Arts and Sciences, Sinop University, 57000 Sinop, Turkey

Abstract

We deal with a new type of statistical convergence for double sequences, calledΨ-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces. Finally, we give some application to moment-type operators in Orlicz spaces.

Funder

Istituto Nazionale di Alta Matematica

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/160401.pdf

Reference52 articles.

1. On approximation of continuous and of analytic functions

2. Lecture Notes in Mathematics, Vol. 293,1972

3. Korovkin theorems in Lp-spaces

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