Convergence of generalized sampling series in weighted spaces
Demonstratio Mathematica, vol.55, no.1, pp.153-162, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 1
- Publication Date: 2022
- Doi Number: 10.1515/dema-2022-0014
- Journal Name: Demonstratio Mathematica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.153-162
- Keywords: generalized sampling operators, quantitative order of approximation, Voronovskaja-type theorem, weighted modulus of continuity, weighted spaces
- Open Archive Collection: AVESIS Open Access Collection
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
© 2022 Tuncer Acar et al., published by De Gruyter.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.