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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.
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
Linking options:
https://www.mathnet.ru/eng/im1999https://doi.org/10.1070/IM1974v008n05ABEH002136 https://www.mathnet.ru/eng/im/v38/i5/p995
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Abstract page: | 243 | Russian version PDF: | 77 | English version PDF: | 3 | References: | 42 | First page: | 1 |
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