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Öğe Convergence of generalized sampling series in weighted spaces(De Gruyter Poland Sp Z O O, 2022) Acar, Tuncer; Alagoz, Osman; Aral, Ali; Costarelli, Danilo; Turgay, Metin; Vinti, GianlucaThe 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.