## 99 Citations

Convergence follows from Cesàro summability in the case of slowly decreasing or slowly oscillating double sequences in certain senses

- Philosophy, Mathematics
- 2020

Let (uμν) be a double sequence of real or complex numbers which is (C, 1, 1) summable to a finite limit. We obtain some Tauberian conditions of slow decreasing or oscillating types in terms of the…

A one-sided theorem for the product of Abel and Cesáro summability methods

- Philosophy, Mathematics
- 2015

In this paper, a one-sided condition is given to recover .C; ̨/ summability of a sequence from its .A/.C; ̨C 1/ summability. Our result extends and generalizes the well known classical Tauberian…

Some Tauberian theorems for (A)(C, α) summability method

- Philosophy, MathematicsMath. Comput. Model.
- 2010

2 7 Ju l 2 00 9 A Tauberian theorem for Ingham summation method

- Philosophy, Mathematics
- 2009

The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Taube-rian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions…

An alternative proof of a Tauberian theorem for Abel summability method

- Mathematics, Philosophy
- 2016

Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence of real numbers is Abel summable, then it is convergent in the ordinary sense.

Tauberian conditions under which convergence follows from Abel summability

- MathematicsAppl. Math. Lett.
- 2010

Tauberian Korevaar

- Mathematics
- 2022

We focus on the Tauberian work for which Jaap Korevaar is best known, together with its connections with probability theory. We begin (§1) with a brief sketch of the field up to Beurling’s work. We…

Moments and tail reciprocal connections for the random variables having generalized Gamma-Weibull distributions

- Mathematics
- 2022

We establish the one to one bilateral interrelations between an asymptotic behavior for the tail of distributions for random variables and its great moments evaluation. Our results generalize the…

New Tauberian theorems for statistical Cesàro summability of a function of three variables over a locally convex space

- MathematicsArmenian Journal of Mathematics
- 2022

In this paper, we prove two new Tauberian theorems via statistical Cesàro summability mean of a continuous function of three variables by using oscillating behavior and De la Vallée Poussin means of…

A finitization of Littlewood’s Tauberian theorem and an application in Tauberian remainder theory

- Mathematics
- 2022

We analyse Littlewood’s 1911 Tauberian theorem from a proof theoretic perspective. We first use Gödel’s Dialectica interpretation to give a computational interpretation to the theorem, producing a…