Some Tauberian theorems for weighted means of double integrals

Some Tauberian Theorems for Weighted Means of Bounded Double Sequences

In this paper we define double weighted generator sequence and prove some Tauberian theorems under which the convergence of bounded double sequences follows from its summability by weighted means. Mathematics Subject Classification 2010: 40C05, 40E05.

Analogues of Some Tauberian Theorems for Stretchings

We investigate the effect of four-dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four-dimensional analogue of D. Dawson’s copy theorem for stretching of a double sequence. In addition, themultidimensional analogue of D. Dawson’s copy theorem is used to characterize convergent double sequ...

Tauberian Theorems by Weighted Summability Method

Some Tauberian Theorems Related to Coin Tossing

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Some Tauberian Theorems Related to Operator Theory

This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for ...