Results 21 to 30 of about 1,025 (106)
A note on the finitization of Abelian and Tauberian theorems
Mathematical Logic Quarterly, Volume 66, Issue 3, Page 300-310, October 2020., 2020 Abstract 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 simple condition under which the converse holds. Our approach is inspired by proof theory,
Thomas Powell
wiley +1 more source
Optimal Tauberian constant in Ingham's theorem for Laplace transforms [PDF]
, 2018 It is well known that there is an absolute constant $\mathfrak{C}>0$ such that if the Laplace transform $G(s)=\int_{0}^{\infty}\rho(x)e^{-s x}\:\mathrm{d}x$ of a bounded function $\rho$ has analytic continuation through every point of the segment $(-i ...
Debruyne, Gregory, Vindas, Jasson
core +3 more sources
Gaussian Behavior of Quadratic Irrationals [PDF]
, 2020 We study the probabilistic behaviour of the continued fraction expansion of a quadratic irrational number, when weighted by some "additive" cost. We prove asymptotic Gaussian limit laws, with an optimal speed of convergence.
Cesaratto, Eda, Vallée, Brigitte
core +2 more sources
Asymptotic formulas for stacks and unimodal sequences [PDF]
, 2013 We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural variants of unimodal sequences, including Auluck's generalized Ferrer ...
Bringmann, Kathrin, Mahlburg, Karl
core +2 more sources
Sojourn measures of Student and Fisher-Snedecor random fields [PDF]
, 2014 Limit theorems for the volumes of excursion sets of weakly and strongly dependent heavy-tailed random fields are proved. Some generalizations to sojourn measures above moving levels and for cross-correlated scenarios are presented.
Leonenko, Nikolai, Olenko, Andriy
core +2 more sources
On the rate of convergence to Rosenblatt-type distribution [PDF]
, 2015 The main result of the article is the rate of convergence to the Rosenblatt-type distributions in non-central limit theorems. Specifications of the main theorem are discussed for several scenarios.
Anh, Vo +2 more
core +3 more sources
The weak Pleijel theorem with geometric control [PDF]
, 2015 Let $\Omega\subset \mathbb R^d\,, d\geq 2$, be a bounded open set, and denote by $\lambda\_j(\Omega), j\geq 1$, the eigenvalues of the Dirichlet Laplacian arranged in nondecreasing order, with multiplicities.
Bérard, Pierre, Helffer, Bernard
core +5 more sources
General logarithmic control modulo and Tauberian remainder theorems
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $\lambda=(\lambda_n)$ be a nondecreasing sequence of positive numbers such that $\lambda_n\to\infty$. A sequence $(\xi_n)$ is called $\lambda$-bounded if \begin{equation*} \lambda_n(\xi_n-\alpha)=O(1)\end{equation*} with the limit $\displaystyle{\lim_{n\rightarrow \infty}\xi_n=\alpha}$.
openaire +2 more sources
Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point [PDF]
, 2013 We derive explicit bounds for the remainder term in the local Weyl law for locally hyperbolic manifolds, we also give the estimates of the derivative of this remainder.
Mroz, Kamil, Strohmaier, Alexander
core +1 more source
Comparison theorems for summability methods of sequences of fuzzy numbers
, 2017 In this study we compare Ces\`{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also some results dealing with series of fuzzy numbers
Yavuz, Enes
core +3 more sources