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, 2008, Volume 83, Issue 5,Pages 696

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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

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.

UDC: 517.5

Received: 25.02.2002
Revised: 16.01.2007

DOI: 10.4213/mzm4716