Analysis Mathematica
Volume/Issue:
Volume 38: Issue 4
Равномерное приближение интегралов Пуассона функций иэ класса Hω суммами Валле Пуссена
Authors:
A. Serdyuk Institute of Mathematics of the National Academy of Sciences of Ukraine, 3 Tereshenkivska st., 01601 Kiev, Ukraine

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Ie. Ovsii Institute of Mathematics of the National Academy of Sciences of Ukraine, 3 Tereshenkivska st., 01601 Kiev, Ukraine

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Pages:
305–325
Online Publication Date:
26 Nov 2012
Publication Date:
01 Dec 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10476-012-0403-1
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Abstract  

We obtain asymptotic equalities for least upper bounds of deviations in the uniform metric of de la Vallée Poussin sums on the sets CβqHω of Poisson integrals of functions from the class Hω generated by convex upwards moduli of continuity ω(t) which satisfy the condition ω(t)/t → ∞ as t → 0. As an implication, a solution of the Kolmogorov-Nikol’skii problem for de la Vallée Poussin sums on the sets of Poisson integrals of functions belonging to Lipschitz classes Hα, 0 < α < 1, is obtained.

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Cover Analysis Mathematica
Analysis Mathematica
Print ISSN:
0133-3852
Online ISSN:
1588-273X

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Analysis Mathematica
Language English
Size B5
Year of
Foundation		 1975
Volumes
per Year		 1
Issues
per Year		 4
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

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