Published January 1, 2022
| Version v1
Journal article
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Convergence of generalized sampling series in weighted spaces
Creators
- 1. Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey
- 2. Bilecik Seyh Edebali Univ, Fac Sci, Dept Math, Bilecik, Turkey
- 3. Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
- 4. Univ Perugia, Dept Math & Comp Sci, 1 Via Vanvitelli, I-06123 Perugia, Italy
Description
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.
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