Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 6, Pages 46–48 (Mi vmumm920)  
Short notes

Waterman classes and piecewise monotone approximations

A. N. Bakhvalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (227 kB)
Abstract: A neсessary and sufficient condition for a class of functions with a given estimate on piecewise monotone approximations to be embedded into the Waterman class (of functions of bounded $\Lambda$-variation) is obtained.
Key words: piecewise monotone approximation, genezalized variation.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00302
Ministry of Education and Science of the Russian Federation НШ-2787.2008.1
Received: 28.11.2008
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. N. Bakhvalov, “Waterman classes and piecewise monotone approximations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 6, 46–48
Citation in format AMSBIB
\Bibitem{Bak09}
\by A.~N.~Bakhvalov
\paper Waterman classes and piecewise monotone approximations
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 6
\pages 46--48
\mathnet{http://mi.mathnet.ru/vmumm920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664108}
\zmath{https://zbmath.org/?q=an:1304.41013}
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