General control modulo and Tauberian remainder theorems for (C, 1) summability

We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.

Bibliographic Details
Main Authors: Olga Meronen, Ivar Tammeraid
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2013-02-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4100
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author Olga Meronen
Ivar Tammeraid
author_facet Olga Meronen
Ivar Tammeraid
author_sort Olga Meronen
collection DOAJ
description We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
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spelling doaj.art-e88fecd8d5ff499ebfa44033ba1da90b2022-12-21T21:04:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102013-02-0118110.3846/13926292.2013.758674General control modulo and Tauberian remainder theorems for (C, 1) summabilityOlga Meronen0Ivar Tammeraid1Tallinn University of Technology 19086 Tallinn, EstoniaTallinn University of Technology 19086 Tallinn, EstoniaWe prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.https://journals.vgtu.lt/index.php/MMA/article/view/4100λ-bounded seriessummability by (C, 1) methodgeneral control modulo of the oscillatory behaviorTauberian remainder theorems
spellingShingle Olga Meronen
Ivar Tammeraid
General control modulo and Tauberian remainder theorems for (C, 1) summability
Mathematical Modelling and Analysis
λ-bounded series
summability by (C, 1) method
general control modulo of the oscillatory behavior
Tauberian remainder theorems
title General control modulo and Tauberian remainder theorems for (C, 1) summability
title_full General control modulo and Tauberian remainder theorems for (C, 1) summability
title_fullStr General control modulo and Tauberian remainder theorems for (C, 1) summability
title_full_unstemmed General control modulo and Tauberian remainder theorems for (C, 1) summability
title_short General control modulo and Tauberian remainder theorems for (C, 1) summability
title_sort general control modulo and tauberian remainder theorems for c 1 summability
topic λ-bounded series
summability by (C, 1) method
general control modulo of the oscillatory behavior
Tauberian remainder theorems
url https://journals.vgtu.lt/index.php/MMA/article/view/4100
work_keys_str_mv AT olgameronen generalcontrolmoduloandtauberianremaindertheoremsforc1summability
AT ivartammeraid generalcontrolmoduloandtauberianremaindertheoremsforc1summability