Behavior of Gronwall polynomials on the boundary of summability domain
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 165-168
Cet article a éte moissonné depuis la source Math-Net.Ru
Linear summation methods can analytically continue the function outside the region of convergence of the power series. To practice is useful to know the rate of convergence obtained sequence of polynomials Gronwall. In this paper we estimated the rate of convergence on the boundary of the summation.
@article{VYURM_2012_7_a25,
author = {L. V. Matveeva},
title = {Behavior of {Gronwall} polynomials on the boundary of summability domain},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {165--168},
year = {2012},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2012_7_a25/}
}
TY - JOUR AU - L. V. Matveeva TI - Behavior of Gronwall polynomials on the boundary of summability domain JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2012 SP - 165 EP - 168 IS - 7 UR - http://geodesic.mathdoc.fr/item/VYURM_2012_7_a25/ LA - ru ID - VYURM_2012_7_a25 ER -
%0 Journal Article %A L. V. Matveeva %T Behavior of Gronwall polynomials on the boundary of summability domain %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2012 %P 165-168 %N 7 %U http://geodesic.mathdoc.fr/item/VYURM_2012_7_a25/ %G ru %F VYURM_2012_7_a25
L. V. Matveeva. Behavior of Gronwall polynomials on the boundary of summability domain. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 165-168. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a25/
[1] Matveeva L. V., Issled. po funktsion. analizu, Sb. nauch. tr., Ur. gos. un-t, Sverdlovsk, 1978, 49–64 (in Russ.) | MR
[2] Matveeva L. V., Nauka YuUrGU, Sb. nauch. tr., v. 2, Izdatel'stvo YuUrGU, Cheliabinsk, 2009, 153–156 (in Russ.)
[3] Matveeva L. V., Nauka YuUrGU, Sb. nauch. tr., v. 3, Izdatel'stvo YuUrGU, Cheliabinsk, 2011, 149–152 (in Russ.)
[4] T. H. Gronwall, “Summation of series and conformal mapping”, Ann. Math., 33:2 (1932), 101–117 | DOI | MR
[5] C. Birindelli, “Contributo all' analisi dei metodi di sommazione di Gronwall”, Rendic. del Circolo Matemat. de Palermo, 61 (1937), 157–176 | DOI