Some Tauberian theorems for Cesàro summability of double integrals over R2+

Tauberian Theorems for Summability Transforms

we then write sn → s(A), where A is the A method of summability. Appropriate choices of A= [an,k] for n,k ≥ 0 give the classical methods [2]. In this paper, we present various summability analogs of the strong law of large numbers (SLLN) and their rates of convergence in an unified setting, beyond the class of random-walk methods. A convolution summability method introduced in the next section ...

Tauberian Theorems by Weighted Summability Method

On Some Tauberian Conditions for Abel Summability

In this paper we introduce new Tauberian conditions for Abel summability method that include Hardy Littlewood Tauberian condition [4] as a special case. Mathematics Subject Classification: 40E05

On Tauberian Conditions for (c, 1) Summability of Integrals

We investigate some Tauberian conditions in terms of the general control modulo of the oscillatory behavior of integer order of continuous real functions on [0,∞) for (C, 1) summability of integrals. Moreover, we obtain a Tauberian theorem for a real bounded function on [0,∞).

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.