Nonsaturable quadrature formulas on an interval (on Babenko’s Problem)


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Abstract

An interpolation quadrature formula with a weight function from Lp[–1, 1] (1 < p < ∞) whose error is estimated in terms of Chebyshev smoothness characteristics is shown to be nonsaturable.

About the authors

V. N. Belykh

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090


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