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

Institut für Mathematik

Ukrainian National Academy of Sciences

5 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Studia Universitatis Babes-Bolyai Mathematica
Jahrgang	64
Ausgabenummer	3
Seiten (von - bis)	313-329
Seitenumfang	17
ISSN	0252-1938
DOIs	https://doi.org/10.24193/subbmath.2019.3.03
Publikationsstatus	Veröffentlicht - 2019

Fördermittel

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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title = "Approximation theorems for multivariate Taylor-Abel-Poisson means",

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 Lp,Y (Td) are equivalent for all positive integers d.",

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year = "2019",

doi = "10.24193/subbmath.2019.3.03",

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AU - Prestin, Jürgen

AU - Savchuk, Viktor

AU - Shidlich, Andrii

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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.

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U2 - 10.24193/subbmath.2019.3.03

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

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Approximation theorems for multivariate Taylor-Abel-Poisson means

Abstract

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