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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2007 Volume 198, Number 11, Pages 3–20 (Mi sm1437)

This article is cited in 7 papers

Informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$

Sh. U. Azhgaliev, N. Temirgaliev

L. N. Gumilev Eurasian National University

Abstract: The informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$ is investigated. The optimal recovery orders of functions in $H_p^\omega$ are found. These are completely determined by embedding theorems, similarly to the case of function classes with smoothness described in terms of numerical parameters.
Bibliography: 28 titles.

UDC: 517.5

MSC: Primary 41A46; Secondary 46E35

Received: 14.11.2005 and 04.05.2007

DOI: 10.4213/sm1437


 English version:
Sbornik: Mathematics, 2007, 198:11, 1535–1551

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© Steklov Math. Inst. of RAS, 2026