Generalized linear methods and convergence acceleration
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
Keywords:
convergence acceleration, summability methodsHow to Cite
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Copyright (c) 2003 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2003 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.