Tauberian theorems for weak almost convergent functions |
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| Authors: | Meng-Kuang Kuo |
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| Institution: | 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 |
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| Abstract: | 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 R~2+ . |
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| Keywords: | almost convergent functions weak almost convergent functions Tauberian theorems Cauchy criterions |
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