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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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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description 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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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
title TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS
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