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Matematicheskie Zametki, 2008, Volume 83, Issue 5, Pages 696–704
DOI: https://doi.org/10.4213/mzm4716 (Mi mzm4716) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$

R. A. Lasuriya

Abkhazian State University
Full-text PDF (426 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm4716
Abstract: We obtain estimates of the rate of convergence of strong $\varphi$ means of $\Lambda$ methods of summation of Taylor series on some classes of analytic and bounded functions in the disk.
Keywords: Taylor series, strong summability, $\varphi$ deviation, $\varphi$ Vallée-Poussin mean, Fourier series, Cauchy-type integral, convex function, Hausdorff–Young theorem.
Received: 25.02.2002
Revised: 16.01.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 5, Pages 635–642
DOI: https://doi.org/10.1134/S0001434608050064
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: R. A. Lasuriya, “Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$”, Mat. Zametki, 83:5 (2008), 696–704; Math. Notes, 83:5 (2008), 635–642
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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