Results 1 to 10 of about 863 (70)
A note on the finitization of Abelian and Tauberian theorems [PDF]
Mathematical Logic Quarterly, 2020 AbstractWe 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.
Thomas Powell
wiley +6 more sources
Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability
Universal Journal of Mathematics and Applications, 2021 For a non-decreasing sequence of positive integers tending to infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a
Merve Temizer Ersoy
doaj +5 more sources
Tauberian and Abelian Theorems for Long-range Dependent Random Fields [PDF]
Methodology and Computing in Applied Probability, 2012 Will appear in Methodology and Computing in Applied Probability. 26 pages, 10 figures. The final publication is available at link.springer.com.
Nikolai Leonenko, Andriy Olenko
core +4 more sources
Abelian and Tauberian theorems for 0-regularly varying functions [PDF]
Proceedings of the American Mathematical Society, 1985 A general kernel Abelian and Tauberian theorem is proved for functions f f satisfying lim ¯ t → ∞ f ( t x ) / f ( t
Jaap Geluk
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Abelian and Tauberian theorems for integrals [PDF]
, 2012 A new method of obtaining Abelian and Tauberian theorems for the integral of the form $\int\limits_0^\infty K(\frac{t}{r}) d (t)$ is proposed. It is based on the use of limit sets of the measures. A version of Azarin's sets is constructed for Radon's measures on the ray $(0,\infty)$.
A. F. Grishin, I. V. Poedintseva
openalex +3 more sources
Abelian and Tauberian theorems for random fields on two-point homogeneous spaces [PDF]
Theory of Probability and Mathematical Statistics, 2005 We consider centred mean-square continuous random fields for which the incremental variance between two points depends only on the distance between these points.
Anatoliy Malyarenko
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Abelian, Tauberian, and Mercerian Theorems for Arithmetic Sums
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ν. H. Bingham, Akihiko Inoue
openalex +4 more sources
Abelian and Tauberian theorems for a class of integral transforms
Journal of Mathematical Analysis and Applications, 1983 AbstractExtending the Wiener-Ganelius method we give Abelian and precise Tauberian remainder results for a class of Fourier kernels which includes the Hankel transform ƒ(x) = ∫0∞ √xu Jr(xu) ƒ(u) du, v ⩾ − 12. Further, we discuss applications to Fourier series and integrals.
Wolfram Luther
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Stochastic Abelian and Tauberian theorems [PDF]
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1972 Ward Whitt
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Abelian and Tauberian theorems for the Laplace transform of functions in several variables
Journal of Multivariate Analysis, 1989 The authors discuss Abelian- and Tauberian theorems for Laplace transforms of bivariate nondecreasing functions f using two types of regular variation. For the first kind of regular variation, here \(\lim_{t\to \infty}f(r(t)\cdot x,s(t)\cdot y)/h(t)\) exists for all \(x,y>0\) with certain positive functions r, s, h, the results were obtained by \textit{
Edward Omey, Eric Willekens
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