Results 71 to 80 of about 4,159,680 (186)

Tauberian conditions with controlled oscillatory behavior for statistical convergence

Filomat, 2018
We present new Tauberian conditions in terms of the general logarithmic control modulo of the oscillatory behavior of a real sequence (sn) to obtain lim n?? sn = ? from st - lim n?? sn = ?, where ? is a finite number. We also introduce the statistical (l,m) summability method and extend some Tauberian theorems to this method.
Sezer, Sefa Anil, Savas, Rahmet, Canak, Ibrahim   +2 more
openaire   +2 more sources

On the weighted generator of double sequences and its Tauberian conditions

Advances in Operator Theory, 2023
Let \(w^2(\mathbb{K})\), \(w(\mathbb{R}^{>0})\), \(c^2(\mathbb{K})\) and \(\ell_{\infty}^2(\mathbb{K})\) denote the set of all double sequences, the set of all single sequences of positive real numbers, the set of all P-convergent (convergent in Pringsheim's sense) double sequences and the set of all bounded double sequences, respectively. The weighted
Zerrin Önder, Ekrem Savaş, İbrahim Çanak   +2 more
openaire   +2 more sources

General Tauberian conditions for weighted mean methods of summability [PDF]

Journal of Classical Analysis, 2019
Summary: In this paper we recover convergence of a complex sequence \((u_n)\) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of \((u_n)\). As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods.
Sezer, Sefa Anıl, Çanak, İbrahim
openaire   +2 more sources

On logarithmic averages of sequences and its applications

Kuwait Journal of Science, 2016
In this paper, we investigate summability methods of logarithmic averages of the numerical sequences and its applications such as Tauberian type theorems.
Umit Totur, Muhammet A. Okur
doaj  

Asymptotic expansions relating to the distribution of the length of longest increasing subsequences

Forum of Mathematics, Sigma
We study the distribution of the length of longest increasing subsequences in random permutations of n integers as n grows large and establish an asymptotic expansion in powers of $n^{-1/3}$ .
Folkmar Bornemann
doaj   +1 more source

A remark on the Wiener-Ikehara Tauberian theorem [PDF]

, 2014
In this paper we point out that the proof of Kable's extension of the Wiener-Ikehara Tauberian theorem can be applied to the case where the Dirichlet series has a pole of order "$l / m$" without much modification (Kable proved the case $l = 1$).Comment ...
Kato, Ryo
core   +2 more sources

Equidistribution of Algebraic Numbers of Norm One in Quadratic Number Fields [PDF]

, 2010
Given a fixed quadratic extension K of Q, we consider the distribution of elements in K of norm 1 (denoted N). When K is an imaginary quadratic extension, N is naturally embedded in the unit circle in C and we show that it is equidistributed with respect
Petersen, Kathleen L., Sinclair, Christopher D.   +1 more
core  

A uniform Tauberian theorem in optimal control [PDF]

, 2010
In an optimal control framework, we consider the value $V_T(x)$ of the problem starting from state $x$ with finite horizon $T$, as well as the value $V_\lambda(x)$ of the $\lambda$-discounted problem starting from $x$.
Oliu-Barton, Miquel, Vigeral, Guillaume
core  

A note on general Tauberian-type results for controlled stochastic dynamics

, 2015
In this note we show that, in the context of stochastic control systems, the uniform existence of a limit of Cesaro averages implies the existence of uniform limits for averages with respect to a wide class of measures dominated by the Lebesgue measure ...
D. Goreac
semanticscholar   +1 more source

ТАУБЕРОВЫ ТЕОРЕМЫ С МЕДЛЕННО МЕНЯЮЩИМИСЯ С ОСТАТКОМ ФУНКЦИЯМИ И ИХ ПРИЛОЖЕНИЯ

Проблемы анализа, 2012
E. Wirsing setted up a problem in 1967 year: Is it possible to reduce the estimation ∑n≤xf(n)=o(xlogx∑n≤xf(n)n),x→∞\eqno(1) from the estimation ∑p≤xf(p)logpp=o(logx),x→∞.\eqno(2) Here n is a positive enteger, p is a prime number.
ШИРОКОВ Б. М.
doaj