Geodesic
On~best and optimal quadrature formulas on~classes of bounded analytic functions
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 77-97.

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The best quadrature formula is constructed for the Chebyshev weight function and Chebyshev knots, for the class of functions that are analytic in an ellipse with foci at the points $pm1$ and sum of semiaxes $c$, and have their moduli bounded by unity there. Bibliography: 15 titles. 
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K. Yu. Osipenko. On~best and optimal quadrature formulas on~classes of bounded analytic functions. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 77-97. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a4/

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