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This article is cited in 1 scientific paper (total in 1 paper)
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.
DOI:
https://doi.org/10.4213/mzm10118
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English version:
Mathematical Notes, 2014, 95:5, 656–669
Bibliographic databases:
   
UDC:
517.51
Received: 13.07.2012
Revised: 20.10.2013
Citation:
A. F. Konograj, “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”, Mat. Zametki, 95:5 (2014), 734–749; Math. Notes, 95:5 (2014), 656–669
Citation in format AMSBIB
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This publication is cited in the following articles:
-
Sh. A. Balgimbayeva, T. I. Smirnov, “Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness”, Siberian Math. J., 59:2 (2018), 217–230
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