Generalized riesz method and convergence acceleration

Several propositions on A‐boundedness for generalized Riesz method (5ft, Pn), where Pn are linear bounded operators from Banach space X into X, are proved. These results are applied to study convergence acceleration using generalized Riesz method and generalized Zygmund method. Apibendrintas Rie...

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Main Author:	I. Tammeraid
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2004-12-01
Series:	Mathematical Modelling and Analysis
Subjects:	linear summability methods convergence acceleration Tauberian remainder theorems
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/9743

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spelling	doaj-f44c40dce5d044149a5efb3a763b6e112021-07-02T14:19:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102004-12-019410.3846/13926292.2004.9637264Generalized riesz method and convergence accelerationI. Tammeraid0Department of Mathematics , Tallinn University of Technology , Tallinn, 19086, Estonia Several propositions on A‐boundedness for generalized Riesz method (5ft, Pn), where Pn are linear bounded operators from Banach space X into X, are proved. These results are applied to study convergence acceleration using generalized Riesz method and generalized Zygmund method. Apibendrintas Riesz metodas ir konvergavimo pagreitis Santrauka Straipsnyje irodyta keletas teiginiu, susijusiu su A aprežtumu apibendrintam Rieszo metodui, kai Pn yra tiesinis aprežtasis operatorius Banacho erdveje X. Šie rezultatai taikomi tiriant Rieszo ir apibendrinto Zygmundo metodu konvergavimo pagreiti. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9743linear summability methodsconvergence accelerationTauberian remainder theorems
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	I. Tammeraid
spellingShingle	I. Tammeraid Generalized riesz method and convergence acceleration Mathematical Modelling and Analysis linear summability methods convergence acceleration Tauberian remainder theorems
author_facet	I. Tammeraid
author_sort	I. Tammeraid
title	Generalized riesz method and convergence acceleration
title_short	Generalized riesz method and convergence acceleration
title_full	Generalized riesz method and convergence acceleration
title_fullStr	Generalized riesz method and convergence acceleration
title_full_unstemmed	Generalized riesz method and convergence acceleration
title_sort	generalized riesz method and convergence acceleration
publisher	Vilnius Gediminas Technical University
series	Mathematical Modelling and Analysis
issn	1392-6292 1648-3510
publishDate	2004-12-01
description	Several propositions on A‐boundedness for generalized Riesz method (5ft, Pn), where Pn are linear bounded operators from Banach space X into X, are proved. These results are applied to study convergence acceleration using generalized Riesz method and generalized Zygmund method. Apibendrintas Riesz metodas ir konvergavimo pagreitis Santrauka Straipsnyje irodyta keletas teiginiu, susijusiu su A aprežtumu apibendrintam Rieszo metodui, kai Pn yra tiesinis aprežtasis operatorius Banacho erdveje X. Šie rezultatai taikomi tiriant Rieszo ir apibendrinto Zygmundo metodu konvergavimo pagreiti. First Published Online: 14 Oct 2010
topic	linear summability methods convergence acceleration Tauberian remainder theorems
url	https://journals.vgtu.lt/index.php/MMA/article/view/9743
work_keys_str_mv	AT itammeraid generalizedrieszmethodandconvergenceacceleration
_version_	1721328120250761216

Generalized riesz method and convergence acceleration

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