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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 BΩp,θ 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 BΩp,θ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers.
Keywords: class BΩp,θ 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 BΩp,θ 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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  • https://www.mathnet.ru/eng/mzm10118
  • https://doi.org/10.4213/mzm10118
  • https://www.mathnet.ru/eng/mzm/v95/i5/p734
    • This publication is cited in the following 4 articles:
    1. Fedunyk-Yaremchuk V O., Hembars'ka S.B., “Approximation of Classes of Periodic Functions of Several Variables With Given Majorant of Mixed Moduli of Continuity”, Carpathian Math. Publ., 13:3 (2021), 838–850  crossref  mathscinet  isi
    2. O. V. Fedunyk-Yaremchuk, S. B. Hembars'ka, “Estimates of approximative characteristics of the classes b-p,theta(omega) of periodic functions of several variables with given majorant of mixed moduli of continuity in the space l-q”, Carpathian Math. Publ., 11:2 (2019), 281–295  crossref  mathscinet  isi
    3. 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  mathnet  crossref  crossref  isi  elib
    4. O. V. Fedunyk-Yaremchuk, K. V. Solich, “Estimates of approximative characteristics of the classes
      B
      p , θ
      Ω
      BΩp,θ of periodic functions of many variables with given majorant of mixed continuity moduli in the space L ∞”, J Math Sci, 231:1 (2018), 28  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:110
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