Geodesic
Best quadrature formula for some classes of periodic differentiable functions
Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1055-1071

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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. 
@article{IM2_1977_11_5_a7,
     author = {A. A. Zhensykbaev},
     title = {Best quadrature formula for some classes of periodic differentiable functions},
     journal = {Izvestiya. Mathematics },
     pages = {1055--1071},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a7/}
}
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A. A. Zhensykbaev. Best quadrature formula for some classes of periodic differentiable functions. Izvestiya. Mathematics , Tome 11 (1977) no. 5, pp. 1055-1071. http://geodesic.mathdoc.fr/item/IM2_1977_11_5_a7/