Approximation theorems for multivariate Taylor-Abel-Poisson means

Jürgen Prestin; Viktor Savchuk; Andrii Shidlich

doi:10.24193/subbmath.2019.3.03

Approximation theorems for multivariate Taylor-Abel-Poisson means

Jürgen Prestin, Viktor Savchuk, Andrii Shidlich

Institute of Mathematics

Ukrainian National Academy of Sciences

5 Citations (Scopus)

Abstract

We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces L_p,Y (T^d) are equivalent for all positive integers d.

Original language	English
Journal	Studia Universitatis Babes-Bolyai Mathematica
Volume	64
Issue number	3
Pages (from-to)	313-329
Number of pages	17
ISSN	0252-1938
DOIs	https://doi.org/10.24193/subbmath.2019.3.03
Publication status	Published - 2019

Funding

Acknowledgments. This work is partially supported by the Grant H2020-MSCA-RISE-2014, project number 645672 (AMMODIT: Approximation Methods for Molecular Modelling and Diagnosis Tools) and the Grant of the NAS of Ukraine to research laboratories / groups of young scientists of the NAS of Ukraine for conducting researches on priority directions of science and technology development in 2018, project number 16-10/2018.

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10.24193/subbmath.2019.3.03

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AU - Prestin, Jürgen

AU - Savchuk, Viktor

AU - Shidlich, Andrii

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N2 - We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces Lp,Y (Td) are equivalent for all positive integers d.

AB - We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces Lp,Y (Td) are equivalent for all positive integers d.

UR - https://www.scopus.com/pages/publications/85073712595

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DO - 10.24193/subbmath.2019.3.03

M3 - Journal articles

AN - SCOPUS:85073712595

SN - 0252-1938

VL - 64

SP - 313

EP - 329

JO - Studia Universitatis Babes-Bolyai Mathematica

JF - Studia Universitatis Babes-Bolyai Mathematica

IS - 3

ER -

Approximation theorems for multivariate Taylor-Abel-Poisson means

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