Tauberian theorem for the distributional Stieltjes transformation
In this paper we use the notion of L-quasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes transformation.
D. Nikolić-Despotović, S. Pilipović
doaj +1 more source
Generalized Euler‐Knopp method and convergence acceleration
New propositions on λ‐boundedness for generalized Euler‐Knopp method of summability (ϵ, T), where ? is a linear bounded operator from Banach space X into X, are proved.
O. Meronen, I. Tammeraid
doaj +1 more source
Multidimensional Tauberian theorems for vector-valued distributions [PDF]
We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
core +2 more sources
We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set.
I. J. Maddox
doaj +1 more source
On Tauber's second Tauberian theorem [PDF]
We study Tauberian conditions for the existence of Cesàro limits in terms of the Laplace transform. We also analyze Tauberian theorems for the existence of distributional point values in terms of analytic representations.
Estrada, Ricardo, Vindas Diaz, Jasson
core +3 more sources
A Tauberian theorem for Ingham summation method
The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove is then applied to analyze asymptotics of mean values of multiplicative functions on natural numbers.Comment: 25 ...
Zacharovas, Vytas
core +2 more sources
Recursive games: uniform value, Tauberian theorem and the Mertens conjecture “Maxmin=limvn=limvλ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin} [PDF]
We study two-player zero-sum recursive games with a countable state space and finite action spaces at each state. When the family of n-stage values {vn,n≥1}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Xiaoxi Li, Xavier Venel
semanticscholar +1 more source
Wiener Tauberian theorem and half-space problems for parabolic and elliptic equations
For various kinds of parabolic and elliptic partial differential and differential-difference equations, results on the stabilization of solutions are presented. For the Cauchy problem for parabolic equations, the stabilization is treated as the existence
A. Muravnik
semanticscholar +1 more source
Generalization of the effective Wiener-Ikehara theorem [PDF]
International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
ANNE de ROTON +4 more
core +4 more sources
A quantified Tauberian theorem for sequences [PDF]
The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary ...
D. Seifert
semanticscholar +1 more source

