Cubature formulae for Besov classes

©, 1997 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation V V Dubinin 1997 Izv. Math. 61 259 DOI 10.1070/IM1997v061n02ABEH000114

1064-5632/61/2/259

Abstract

This paper is devoted to an investigation of optimal cubature formulae for Besov classes of functions with restrictions on the mixed difference. This study is a continuation of papers [1] and [2]. In this paper we find the exact order of the error of the cubature formula using the values of the function at particular points.

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10.1070/IM1997v061n02ABEH000114