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This article is cited in 16 scientific papers (total in 16 papers)
Best quadrature formula for some classes of periodic differentiable functions
A. A. Zhensykbaev
Abstract:
In this work there is solved the problem of the best quadrature formula of the form
$$
\int_0^1f(x)\,dx=\sum_{i=1}^na_if(x_i)+R(f)
$$
on the classes of periodic functions $W^r_p$ ($r=1,2,\dots$; $1\leqslant p\leqslant\infty$).
Bibliography: 13 titles.
Received: 19.01.1976
Citation:
A. A. Zhensykbaev, “Best quadrature formula for some classes of periodic differentiable functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977), 1110–1124; Math. USSR-Izv., 11:5 (1977), 1055–1071
Linking options:
https://www.mathnet.ru/eng/im1882https://doi.org/10.1070/IM1977v011n05ABEH001758 https://www.mathnet.ru/eng/im/v41/i5/p1110
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Abstract page: | 405 | Russian version PDF: | 107 | English version PDF: | 13 | References: | 57 | First page: | 1 |
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