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This article is cited in 21 scientific papers (total in 21 papers)
On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions
V. P. Motornyi
Abstract:
We solve the problem of the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for the following classes of differentiable periodic functions: $W^r$ ($r>3$), $W^rH_\omega$ (where $\omega$ is a convex modulus of continuity and $r$ is odd), and $W^rL$ ($r=4,6,\dots$).
Received: 23.01.1973
Citation:
V. P. Motornyi, “On the best quadrature formula of the form $\sum_{k=1}^np_kf(x_k)$ for some classes of differentiable periodic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974), 583–614; Math. USSR-Izv., 8:3 (1974), 591–620
Linking options:
https://www.mathnet.ru/eng/im1941https://doi.org/10.1070/IM1974v008n03ABEH002122 https://www.mathnet.ru/eng/im/v38/i3/p583
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Abstract page: | 407 | Russian version PDF: | 136 | English version PDF: | 12 | References: | 53 | First page: | 1 |
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