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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 155–203 (Mi znsl1416)  
This article is cited in 2 scientific papers (total in 3 papers)

Semi-norms and continuity modules of functions defined on a segment

V. V. Zhuk, G. I. Natanson

Saint-Petersburg State University
Full-text PDF (401 kB) Citations (3)
Abstract: We describe in detail fundamental properties of continuity modules of various orders in the spaces $L^p$ of functions defined on a finite segment. We establish some general estimates of seminorms in terms of continuity modules with the best known constants. An example of application of these results to the best approximations is considered.
Received: 09.01.2001
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4822–4851
DOI: https://doi.org/10.1023/A:1025572500392
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. V. Zhuk, G. I. Natanson, “Semi-norms and continuity modules of functions defined on a segment”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 155–203; J. Math. Sci. (N. Y.), 118:1 (2003), 4822–4851
Citation in format AMSBIB
\Bibitem{ZhuNat01}
\by V.~V.~Zhuk, G.~I.~Natanson
\paper Semi-norms and continuity modules of functions defined on a~segment
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 155--203
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1416}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850367}
\zmath{https://zbmath.org/?q=an:1071.41008}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4822--4851
\crossref{https://doi.org/10.1023/A:1025572500392}
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  • https://www.mathnet.ru/eng/znsl/v276/p155
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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