Copy For Citation
Acar T., ALAGÖZ O., Aral A., Costarelli D., Turgay M., Vinti G.
Demonstratio Mathematica, vol.55, no.1, pp.153-162, 2022 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
55
Issue:
1
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Publication Date:
2022
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Doi Number:
10.1515/dema-2022-0014
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Journal Name:
Demonstratio Mathematica
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Linguistic Bibliography, zbMATH, Directory of Open Access Journals
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Page Numbers:
pp.153-162
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Keywords:
generalized sampling operators, quantitative order of approximation, Voronovskaja-type theorem, weighted modulus of continuity, weighted spaces
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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.