Results 11 to 20 of about 4,159,680 (186)

A note on the finitization of Abelian and Tauberian theorems [PDF]

Mathematical Logic Quarterly, Volume 66, Issue 3, Page 300-310, October 2020., 2019
We present finitary formulations of two well known results concerning infinite series, namely Abel's theorem, which establishes that if a series converges to some limit then its Abel sum converges to the same limit, and Tauber's theorem, which presents a
Thomas Powell
semanticscholar   +2 more sources

On Tauberian conditions for the Hölder integrability method

Positivity
Abstract Let f be a real-valued continuous function on $$[0,\infty )$$ [ 0 , ∞ ) .
M. Okur, Ibrahim Çanak
semanticscholar   +2 more sources

Necessary and Sufficient Tauberian Condition for Both Cesàro and Abel Summability

Jahresbericht der Deutschen Mathematiker-Vereinigung
The Weakly-Vanishing Mean Oscillation (W-VMO) property is introduced and its relation with some Tauberian conditions in the literature is investigated. Then, it is shown that this property is a necessary and sufficient condition under which convergence follows from Abel and Cesàro summability.
Philippe Angot
semanticscholar   +2 more sources

TAUBERIAN CONDITIONS FOR $q$-CES\`{A}RO INTEGRABILITY [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2020
Given a $q$-integrable function $f$ on $[0, \infty)$, we define $s(x)=\int_{0}^{x}f(t)d_qt$ and $\sigma(s(x))=\frac{1}{x}\int _{0}^{x} s(t)d_{q}t$ for $x>0$. It is known that if $\lim _{x \to \infty}s(x)$ exists andis equal to $A$, then $\lim _{x \to \infty}\sigma(s(x))=A$. But the converse of this implication is not true in general.
Sefa Anıl Sezer, İbrahim Çanak
openaire   +2 more sources

Sparse graphs using exchangeable random measures. [PDF]

J R Stat Soc Series B Stat Methodol, 2017
Summary Statistical network modelling has focused on representing the graph as a discrete structure, namely the adjacency matrix. When assuming exchangeability of this array—which can aid in modelling, computations and theoretical analysis—the Aldous–Hoover theorem informs us that the graph is necessarily either dense or empty.
Caron F, Fox EB.
europepmc   +2 more sources

A revisited Tauberian theorem for which slow decrease with respect to a weight function is a tauberian condition for the weighted mean summability of integrals over R+

, 2021
In this extended abstract, we present an alternative proof of a Tauberian theorem of slowly decreasing type with respect to the weight function due to Karamata [5] for the weighted mean summable real-valued integrals over R+ := [0, ∞).Some particular ...
Ibrahim Çanak
semanticscholar   +1 more source

NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p

Проблемы анализа, 2021
In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
doaj   +1 more source

The stationary AKPZ equation: Logarithmic superdiffusivity

Communications on Pure and Applied Mathematics, Volume 76, Issue 11, Page 3044-3103, November 2023., 2023
Abstract We study the two‐dimensional Anisotropic KPZ equation (AKPZ) formally given by ∂tH=12ΔH+λ((∂1H)2−(∂2H)2)+ξ,$$\begin{equation*} \hspace*{3.4pc}\partial _t H=\frac{1}{2}\Delta H+\lambda ((\partial _1 H)^2-(\partial _2 H)^2)+\xi , \end{equation*}$$where ξ is a space‐time white noise and λ is a strictly positive constant.
Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli   +2 more
wiley   +1 more source

On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform

Studies in Applied Mathematics, Volume 151, Issue 2, Page 555-584, August 2023., 2023
Abstract We describe the low‐temperature optical conductivity as a function of frequency for a quantum‐mechanical system of electrons that hop along a polymer chain. To this end, we invoke the Su–Schrieffer–Heeger tight‐binding Hamiltonian for noninteracting spinless electrons on a one‐dimensional (1D) lattice.
Dionisios Margetis, Alexander B. Watson, Mitchell Luskin   +2 more
wiley   +1 more source

Continuous‐time multi‐type Ehrenfest model and related Ornstein–Uhlenbeck diffusion on a star graph

Mathematical Methods in the Applied Sciences, Volume 45, Issue 9, Page 5483-5512, June 2022., 2022
We deal with a continuous‐time Ehrenfest model defined over an extended star graph, defined as a lattice formed by the integers of d semiaxis joined at the origin. The dynamics on each ray are regulated by linear transition rates, whereas the switching among rays at the origin occurs according to a general stochastic matrix.
Antonio Di Crescenzo, Barbara Martinucci, Serena Spina   +2 more
wiley   +1 more source