Results 61 to 70 of about 800 (199)

Distributional versions of Littlewood's Tauberian theorem

, 2010
summary:We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We employ two types of Tauberian hypotheses; the first kind involves distributional boundedness,
Vindas Diaz, Jasson, Totur T., Estrada, Ricardo, Erdem Y., Vindas, Jasson, Çanak T.   +5 more
core   +1 more source

Simple Barban–Davenport–Halberstam type asymptotics for general sequences

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley   +1 more source

Tauberian theorems for subsequential convergence [PDF]

, 2014
Bu tezde iyi bilinen bazı toplanabilme metotları, düzenli üretilen diziler ve yakınsak dizilerin sınıfını içeren bazı dizi sınıfları için Tauber tipi teoremler verilmiştir.
Okur, Muhammet Ali
core  

Decoupling for Schatten class operators in the setting of quantum harmonic analysis

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 23-37, January 2025.
Abstract We introduce the notion of decoupling for operators, and prove an equivalence between classical ℓqLp$\ell ^qL^p$ decoupling for functions and ℓqSp$\ell ^q{\mathcal {S}}^p$ decoupling for operators on bounded sets in R2d${\mathbb {R}}^{2d}$. We also show that the equivalence depends only on the bounded set Ω$\Omega$ and not on the values of p,q$
Helge J. Samuelsen
wiley   +1 more source

Approximation of the semi-infinite interval

International Journal of Mathematics and Mathematical Sciences, 1980
The approximation of a function f∈C[a,b] by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution.
A. McD. Mercer
doaj   +1 more source

On Tauberian Theorems for Statistical Weighted Mean Method of Summability

, 2016
In this paper we establish some new Tauberian theorems for the statistical weighted mean method of summability via the weighted general control modulo of the oscillatory behavior of nonnegative integer order of a real sequence.
Totur, Umit, Canak, Ibrahim
core   +1 more source

Regularity and asymptotics of densities of inverse subordinators

Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.
Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione, Mladen Savov, Bruno Toaldo   +2 more
wiley   +1 more source

Some Tauberian theorems for Euler and Borel summability

International Journal of Mathematics and Mathematical Sciences, 1980
The well-known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ−ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler-Knopp method Er with r>0 (or the Borel ...
J. A. Fridy, K. L. Roberts
doaj   +1 more source