Generalized Euler‐Knopp method and convergence acceleration
DOI: https://doi.org/10.3846/13926292.2006.9637304Abstract
New propositions on λ‐boundedness for generalized Euler‐Knopp method of summability (ϵ, T), where ? is a linear bounded operator from Banach space X into X, are proved. Using these results are verified a proposition on convergence acceleration by (ϵ, T) and a Tauberian remainder theorem for (ϵ,T).
First Published Online: 14 Oct 2010
Keywords:
convergence acceleration, summability methods, Tauberian remainder theoremsHow to Cite
Meronen, O., & Tammeraid, I. (2006). Generalized Euler‐Knopp method and convergence acceleration. Mathematical Modelling and Analysis, 11(1), 87-94. https://doi.org/10.3846/13926292.2006.9637304
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Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
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2006-03-31
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Copyright
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Meronen, O., & Tammeraid, I. (2006). Generalized Euler‐Knopp method and convergence acceleration. Mathematical Modelling and Analysis, 11(1), 87-94. https://doi.org/10.3846/13926292.2006.9637304