GENERALIZED EULER‐KNOPP METHOD AND CONVERGENCE ACCELERATION | Zendy

Olga Meronen | Zendy; Ivar Tammeraid | Zendy

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GENERALIZED EULER‐KNOPP METHOD AND CONVERGENCE ACCELERATION

Author(s) -

Olga Meronen,

Ivar Tammeraid

Publication year - 2006

Publication title -

mathematical modelling 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).

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