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Matematicheskie Zametki, 2014, Volume 95, Issue 5, Pages 734–749
DOI: https://doi.org/10.4213/mzm10118 (Mi mzm10118) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (556 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10118
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.
Received: 13.07.2012
Revised: 20.10.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 5, Pages 656–669
DOI: https://doi.org/10.1134/S0001434614050095
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
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 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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