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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2014 Volume 95, Issue 5, Pages 734–749 (Mi mzm10118)

This article is cited in 4 papers

Estimates of the Approximation Characteristics of the Classes $B^{\Omega}_{p,\theta}$ of Periodic Functions of Several Variables with Given Majorant of Mixed Moduli of Continuity

A. F. Konograj

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: We obtain order-sharp estimates of the orthogonal projection widths of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers.

Keywords: class $B^{\Omega}_{p,\theta}$ of periodic functions, orthogonal projection width, mixed modulus of continuity, Hölder's inequality, Minkowskii's inequality.

UDC: 517.51

Received: 13.07.2012
Revised: 20.10.2013

DOI: 10.4213/mzm10118


 English version:
Mathematical Notes, 2014, 95:5, 656–669

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