TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS  

作　　者：Meng-Kuang Kuo 

机构地区：[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

出　　处：《Acta Mathematica Scientia》2011年第3期1203-1212,共10页数学物理学报（B辑英文版）

摘　　要：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＋ .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＋ .

关 键 词：almost convergent functions weak almost convergent functions Tauberian theorems Cauchy criterions 

分 类 号：O189.11[理学—数学] O174[理学—基础数学]