Analysis Mathematica
Volume/Issue:
Volume 2: Issue 2
On a problem of L. Leindler concerning strong approximation by Fourier series
Author:
J. Szabados Mathematical Institute Hungarian Academy of Sciences Reáltanoda U. 13-15 1053 Budapest Hungary

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Pages:
155–161
Online Publication Date:
25 Jul 2005
Publication Date:
01 Jun 1976
Article Category:
Research Article
DOI:
https://doi.org/10.1007/bf01911141
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Л. Лейндлер поставил з адачу о том, следует ли при 0<р<1 из условия
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathop {\max }\limits_x \sum\limits_{k = 0}^\infty {\left| {S_k (x) - f(x)} \right|^p< \infty }$$ \end{document}
принадлежность функ цииf классу Lip 1 (здесьSk(x) — сумма Фурье порядкаk функц ииf). В работе дан положите льный ответ на этот во прос. Рассматриваются так же различные обобщен ия этой задачи.
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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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