Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$
Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 696-704.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{MZM_2008_83_5_a5,
     author = {R. A. Lasuriya},
     title = {Estimates for a {Group} of $\varphi$ {Deviations} and the {Strong} {Summability} of {Taylor} {Series} of {Functions} of {Class} $A^\psi H_\infty(D)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {696--704},
     publisher = {mathdoc},
     volume = {83},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a5/}
}
TY  - JOUR
AU  - R. A. Lasuriya
TI  - Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$
JO  - Matematičeskie zametki
PY  - 2008
SP  - 696
EP  - 704
VL  - 83
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a5/
LA  - ru
ID  - MZM_2008_83_5_a5
ER  - 
%0 Journal Article
%A R. A. Lasuriya
%T Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$
%J Matematičeskie zametki
%D 2008
%P 696-704
%V 83
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a5/
%G ru
%F MZM_2008_83_5_a5
R. A. Lasuriya. Estimates for a Group of $\varphi$ Deviations and the Strong Summability of Taylor Series of Functions of Class $A^\psi H_\infty(D)$. Matematičeskie zametki, Tome 83 (2008) no. 5, pp. 696-704. http://geodesic.mathdoc.fr/item/MZM_2008_83_5_a5/

[1] A. I. Stepanets, Klassifikatsiya i priblizhenie periodicheskikh funktsii, Naukova Dumka, Kiev, 1987 | MR | Zbl

[2] V. V. Savchuk, “Skorost skhodimosti, ryada Teilora dlya nekotorykh klassov analiticheskikh funktsii”, Ukr. matem. zhurn., 50:7 (1998), 1001–1003 | MR | Zbl

[3] N. L. Pachulia, “O silnoi summiruemosti ryadov Fure $(\psi,\beta)$-differentsiruemykh funktsii”, Ukr. matem. zhurn., 41:6 (1989), 808–814 | MR | Zbl

[4] N. L. Pachulia, A. I. Stepanets, “Silnaya summiruemost ryadov Fure na klassakh $(\psi,\beta)$-differentsiruemykh funktsii”, Matem. zametki, 44:4 (1988), 506–516 | MR | Zbl

[5] V. Totik, “On the strong approximation of Fourier series”, Acta Math. Acad. Sci. Hungar., 35:1–2 (1980), 151–172 | DOI | MR | Zbl

[6] V. Totik, “Notes on Fouries series: strong approximation”, J. Approx. Theory, 43:2 (1985), 105–111 | DOI | MR | Zbl

[7] A. Zigmund, Trigonometricheskie ryady, t. 2, Mir, M., 1965 | MR | Zbl