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Izv. Akad. Nauk SSSR Ser. Mat., 1974, Volume 38, Issue 5, Pages 995–1011 (Mi izv1999)  
Best approximations of continuous functions by piecewise monotone functions

A. S. Loginov


Abstract: In the present article we establish the characteristic theorem of best approximation of a continuous function by piecewise monotone functions. Starting from this theorem we find a sharp estimate for the best approximation.

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English version:
Mathematics of the USSR-Izvestiya, 1974, 8:5, 991–1008

Bibliographic databases:

UDC: 517.5
MSC: Primary 41A15, 41A30; Secondary 41A50
Received: 09.04.1973

Citation: A. S. Loginov, “Best approximations of continuous functions by piecewise monotone functions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:5 (1974), 995–1011; Math. USSR-Izv., 8:5 (1974), 991–1008

Citation in format AMSBIB
\Bibitem{Log74}
\by A.~S.~Loginov
\paper Best approximations of continuous functions by piecewise monotone functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 5
\pages 995--1011
\mathnet{http://mi.mathnet.ru/izv1999}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=358162}
\zmath{https://zbmath.org/?q=an:0305.41015}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 5
\pages 991--1008
\crossref{https://doi.org/10.1070/IM1974v008n05ABEH002136}


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