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

Izv. RAN. Ser. Mat., 2000 Volume 64, Issue 1, Pages 123–144 (Mi im276)

This article is cited in 11 papers

The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity

N. N. Pustovoitov

Moscow State Academy of Automobile and Tractor Construction

Abstract: This paper deals with the orthoprojection widths of classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity of order $l$ that contains logarithmic factors as well as powers. In several cases we find the exact orders of the orthoprojection widths of these classes of functions.

MSC: 41A17, 41A46, 42A75, 46E35, 42A10, 46E30, 46E39

Received: 02.04.1998

DOI: 10.4213/im276


 English version:
Izvestiya: Mathematics, 2000, 64:1, 121–141

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© Steklov Math. Inst. of RAS, 2026