Convergence of generalized sampling series in weighted spaces

• Autorzy: Acar Tuncer , Alagöz Osman , Aral Ali , Costarelli Danilo , Turgay Metin , Vinti Gianluca

Identyfikatory

DOI

10.1515/dema-2022-0014

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

generalized sampling operators; weighted spaces; weighted modulus of continuity; Voronovskaja-type theorem; quantitative order of approximation

PL

przestrzeń funkcji; moduł ciągłości; twierdzenie Voronovskaja; aproksymacja

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 153--162
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Acar Tuncer

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

autor

Alagöz Osman

• Department of Mathematics, Bilecik Seyh Edebali University, Faculty of Science, Bilecik, Turkey,

autor

Aral Ali

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

autor

Costarelli Danilo

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

autor

Turgay Metin

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

autor

Vinti Gianluca

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

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).