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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
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\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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http://mi.mathnet.ru/eng/izv1999 http://mi.mathnet.ru/eng/izv/v38/i5/p995
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