Yayınlanmış 1 Ocak 2023
| Sürüm v1
Dergi makalesi
Açık
Approximation by bivariate generalized sampling series in weighted spaces of functions
Oluşturanlar
- 1. Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkiye
Açıklama
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.
Dosyalar
bib-72809ce1-ec49-4376-b18c-03c489d4bf57.txt
Dosyalar
(180 Bytes)
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