Approximation properties of multivariate exponential sampling series

Array

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DOI:

https://doi.org/10.15330/cmp.13.3.666-675

Keywords:

multivariate exponential sampling series, rate of convergence, multivariate Mellin-Taylor formula, Voronovskaja theorem

Abstract

In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous functions. Furthermore, we state and prove the generalized Mellin-Taylor's expansion of multivariate functions. Using this expansion we establish pointwise asymptotic behaviour of the series by means of Voronovskaja type theorem.

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Published

2021-12-07

How to Cite

(1)
Kurşun, S.; Turgay, M.; Alagöz, O.; Acar, T. Approximation Properties of Multivariate Exponential Sampling Series: Array. Carpathian Math. Publ. 2021, 13, 666-675.

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Scientific articles