Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 1203-1212.doi: 10.1016/S0252-9602(11)60310-X

• Articles • Previous Articles    

TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS

Meng-Kuang Kuo   

  1. Center for General Education, Jen-Teh Junior College of Medicine, Nursing and Management NO, 79-9 Sha-Luen Hu Xi-Zhou Li Hou-Loung Town, Miaoli County, Taiwan, China
  • Received:2008-02-19 Revised:2010-02-09 Online:2011-05-20 Published:2011-05-20

Abstract:

The almost convergent function which was introduced by Raimi [6] and dis-cussed 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+.

Key words: almost convergent functions, weak almost convergent functions, Tauberian theorems, Cauchy criterions

CLC Number: 

  • 40E05
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