Convergence of generalized sampling series in weighted spaces

Convergence of generalized sampling series in weighted spaces

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...

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Bibliographic Details
Main Authors:	Acar Tuncer, Alagöz Osman, Aral Ali, Costarelli Danilo, Turgay Metin, Vinti Gianluca
Format:	Article
Language:	English
Published:	De Gruyter 2022-05-01
Series:	Demonstratio Mathematica
Subjects:	generalized sampling operators weighted spaces weighted modulus of continuity voronovskaja-type theorem quantitative order of approximation 41a25 41a35
Online Access:	https://doi.org/10.1515/dema-2022-0014

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