Approximation by bivariate generalized sampling series in weighted spaces of functions
Title | Approximation by bivariate generalized sampling series in weighted spaces of functions |
Publication Type | Journal Article |
Year of Publication | 2023 |
Authors | Acar, T, Turgay, M |
Journal | Dolomites Research Notes on Approximation |
Volume | 16 |
Issue | 2 |
Pagination | 11-22 |
Date Published | 01/2023 |
Publisher | Padova University Press |
Place Published | Padova, IT |
ISSN Number | 2035-6803 |
Abstract | In this paper, we study weighted approximation by bivariate generalized sampling series. Considering polynomially weighted spaces of bivariate functions we obtain pointwise and uniform convergence of the series. A rate of convergence is also presented by means of weighted modulus of continuity. In order to determine a rate of pointwise convergence, after estimating remainder of Taylor expansion of bivariate function with weighted modulus of continuity, we present a quantitative Voronovskaja theorem. Some numerical examples are also given. |
URL | https://drna.padovauniversitypress.it/2023/2/2 |
DOI | 10.14658/pupj-drna-2023-2-2 |
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