Tauberian and Abelian theorems for rapidly decaying distributions and their applications to stable laws.
Tauberian conditions for a general limitable method.
Tauberian conditions for absolute convergence.
Tauberian conditions for conull spaces.
Tauberian Constants Connected with the Prime Number Theorem II: Computational Aspects.
Tauberian L1-Convergence Classes of Fourier Series. II.
Tauberian Relations between the Abel-Type and the Borel-Type Methods of Summability.
Tauberian remainder theorems for the Borel methods.
Tauberian Retrieval Theory
Tauberian Theorems and Limit Distributions for Upper Order Statistics
Tauberian theorems for Abel limitability method
This paper addresses conditions for the Abel method of limitability to imply convergence and subsequential convergence.
Tauberian theorems for Cesàro summable double integrals over
Given ⨍ ∈ , denote by s(w,z) its integral over the rectangle [0,w]× [0,z] and by σ(u,v) its (C,1,1) mean, that is, the average value of s(w,z) over [0,u] × [0,v], where u,v,w,z>0. Our permanent assumption is that (*) σ(u,v) → A as u,v → ∞, where A is a finite number. First, we consider real-valued functions ⨍ and give one-sided Tauberian conditions which are necessary and sufficient in order that the convergence (**) s(u,v) → A as u,v → ∞ follow from (*). Corollaries allow these Tauberian conditions...
Tauberian theorems for Cesàro summable double sequences
be a double sequence of real numbers which is summable (C,1,1) to a finite limit. We give necessary and sufficient conditions under which converges in Pringsheim’s sense. These conditions are satisfied if is slowly decreasing in certain senses defined in this paper. Among other things we deduce the following Tauberian theorem of Landau and Hardy type: If is summable (C,1,1) to a finite limit and there exist constants and H such that , and whenever , then converges. We always mean...
Tauberian theorems for generalized functions in the scale of regularly varying functions and functionals.
Tauberian theorems for Laplace transforms.
Tauberian theorems for Laplace transforms in dimension D > 1.
Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers
In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general. We obtain that the statistically (C, 1, 1) summable double sequence of fuzzy numbers is convergent and statistically convergent to the same number under the slowly oscillating and statistically slowly oscillating conditions in certain senses, respectively....
Tauberian theorems for summability transforms.
Tauberian theorems on a scale of Abel-type summability methods.
Tauberian-type theorems with application to the Stieltjes transformation.