Open AccessGENERALIZED EULER‐KNOPP METHOD AND CONVERGENCE ACCELERATION
Author(s) -
Olga Meronen,
Ivar Tammeraid
Publication year - 2006
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2006.9637304
Subject(s) - mathematics , remainder , bounded function , banach space , pure mathematics , acceleration , convergence (economics) , bounded inverse theorem , mathematical analysis , bounded operator , arithmetic , physics , classical mechanics , economics , economic growth
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).