关键词: almost convergent functions, weak almost convergent functions, Tauberian theorems, Cauchy criterions

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