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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 123–133 (Mi znsl3681)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of the derivatives of $n$-convex functions

V. A. Malyshev

Rybinsk State Aviation Technological Academy
Full-text PDF (310 kB) Citations (2)
Abstract: In terms of nonlinear norm estimates, a qualitative refinement of the following known result is obtained: on the class of $n$-convex functions, the $L^1$-convergence implies the $C^{(n-2)}$-convergence. Bibl. 2 titles.
Received: 13.11.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3622–3629
DOI: https://doi.org/10.1007/BF02440147
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. A. Malyshev, “Estimates of the derivatives of $n$-convex functions”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 123–133; J. Math. Sci. (New York), 92:1 (1998), 3622–3629
Citation in format AMSBIB
\Bibitem{Mal96}
\by V.~A.~Malyshev
\paper Estimates of the derivatives of $n$-convex functions
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 123--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464429}
\zmath{https://zbmath.org/?q=an:0907.30012|0898.30012}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3622--3629
\crossref{https://doi.org/10.1007/BF02440147}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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