Convergence of generalized sampling series in weighted spaces-Reference-Cited by-同舟云学术

Convergence of generalized sampling series in weighted spaces

Published:2022-01-01 Issue:1 Volume:55 Page:153-162
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Acar Tuncer¹,Alagöz Osman²,Aral Ali³,Costarelli Danilo⁴,Turgay Metin¹,Vinti Gianluca⁴

Affiliation:

1. Department of Mathematics, Selcuk University, Faculty of Science , Selcuklu , 42003, Konya , Turkey

2. Department of Mathematics, Bilecik Seyh Edebali University, Faculty of Science , Bilecik , Turkey

3. Department of Mathematics, Kirikkale University, Faculty of Science and Arts , Yahsihan , 71450, Kirikkale , Turkey

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

Abstract

Abstract The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronovskaja-type theorem is obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0014/pdf

Reference26 articles.

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