Results 31 to 40 of about 610,583 (235)

Distributional versions of Littlewood's Tauberian theorem [PDF]

open access: yes, 2010
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham   +27 more
core   +4 more sources

Multidimensional Tauberian theorems for vector-valued distributions [PDF]

open access: yes, 2014
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

Some Tauberian conditions on logarithmic density

open access: yesAdvances in Difference Equations, 2019
This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and logarithmic (V,λ) $(V,\lambda ...
Adem Kılıçman   +2 more
doaj   +1 more source

The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics [PDF]

open access: yes, 2016
We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces.
Kostadinova, Sanja   +3 more
core   +3 more sources

Tauberian class estimates for vector-valued distributions [PDF]

open access: yes, 2019
We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form $M^{\mathbf{f}}_{\varphi}(x,y)=(\mathbf{f}\ast\varphi_{y})(x)$, where the kernel $\varphi$ is a test function and $\varphi_ ...
Pilipović, Stevan, Vindas, Jasson
core   +2 more sources

Necessary and sufficient conditions under which convergence follows from summability by weighted means

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods.
Ferenc Móricz, Ulrich Stadtmüller
doaj   +1 more source

On Tauber's second Tauberian theorem [PDF]

open access: yes, 2012
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

Tauberian conditions for Conull spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an “order growth” or “gap” condition.
J. Connor, A. K. Snyder
doaj   +1 more source

Tauberian theorem for value functions [PDF]

open access: yes, 2017
For two-person dynamic zero-sum games (both discrete and continuous settings), we investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity and the limit of value functions of ...
Khlopin, Dmitry
core   +1 more source

General control modulo and Tauberian remainder theorems for (C, 1) summability

open access: yesMathematical Modelling and Analysis, 2013
We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Olga Meronen, Ivar Tammeraid
doaj   +1 more source

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