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Generalized linear methods and convergence acceleration

    I. Tammeraid Affiliation

Abstract


Several λ‐boundedness propositions for generalized linear methods A = (Ank ), while Ank are specially fixed linear bounded operators from Banach space X into X, are presented. These results are proved using necessary and sufficient conditions for inclusion Amλ X mμ X .


Apibendrinti tiesiniai metodai ir konvergavimo greitinimas


Santrauka. Straipsnyje pateiktos kelios λ – aprėžtumo teoremos apibendrintiems tiesiniams metodams A = (Ank ), kur Ank yra tam tikri fiksuoti tiesiniai aprėžti operatoriai, apibrėžti Banacho erdveje X X. Teoremos įrodytos naudojantis būtinomis ir pakankamomis sąlygomis Amλ X ⊂ mμ X .



First Published Online: 14 Oct 2010

Keyword : convergence acceleration, summability methods

How to Cite
Tammeraid, I. (2003). Generalized linear methods and convergence acceleration. Mathematical Modelling and Analysis, 8(4), 329-335. https://doi.org/10.3846/13926292.2003.9637234
Published in Issue
Dec 31, 2003
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