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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1997 Volume 61, Issue 2, Pages 27–52 (Mi im114)

This article is cited in 11 papers

Cubature formulae for Besov classes

V. V. Dubinin


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.

MSC: 41A55

Received: 15.08.1995

DOI: 10.4213/im114


 English version:
Izvestiya: Mathematics, 1997, 61:2, 259–283

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© Steklov Math. Inst. of RAS, 2024