TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS

The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences （see [5]）. In this paper, we establish the Tauberian conditions and the Cauchy criteria for weak almost convergent functions on R2...

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Bibliographic Details
Published in:Acta mathematica scientia 2011-05, Vol.31 (3), p.1203-1212
Main Author: Kuo, Meng-Kuang
Format: Article
Language:English
Subjects:
40E05
40G99
almost convergent functions
Analogue
Cauchy criterions
Criteria
Das
Mathematical analysis
Tauberian theorems
Theorems
weak almost convergent functions
定理
收敛序列
柯西准则
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Summary:The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences （see [5]）. In this paper, we establish the Tauberian conditions and the Cauchy criteria for weak almost convergent functions on R2＋ .
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(11)60310-X