Results 161 to 170 of about 733 (210)

A Tauberian Theorem of Exponential Type

Canadian Journal of Mathematics, 1986
1. Introduction. We will be interested in Tauberian theorems concerning the limiting behaviour of a monotone function U and its Laplace transformA famous theorem of Karamata concerns the case in which the function U is regularly varying (i.e., U(tx)/U(t) → xα(t → ∞) for x > 0).
Geluk, J. L., De Haan, L., Stadtmüller, U.   +2 more
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A Tauberian theorem for Cesàro summability of integrals

Applied Mathematics Letters, 2011
In this paper we give a proof of the generalized Littlewood Tauberian theorem for Cesàro summability of improper ...
Umit Totur
exaly   +2 more sources

A Tauberian Theorem for Nonexpansive Operators and Applications to Zero-Sum Stochastic Games

Mathematics of Operations Research, 2016
International audienceWe prove a Tauberian theorem for nonexpansive operators and apply it to the model of zero-sum stochastic game. Under mild assumptions, we prove that the value of the λ-discounted game converges uniformly when λ goes to zero if and ...
Bruno Ziliotto
exaly   +2 more sources

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Tauberian Theorems

The Annals of Mathematics, 1932
Nachdem N. Wiener in einer früheren Abhandlung [J. Math. Phys., Mass. Inst. Technol. 8, 161--184 (1928; JFM 54.0241.01)] die Theorie der Fourierschen Transformierten in den Problemkreis der Mittelungsumkehrsätze (Tauberian theorems) eingeführt hatte, wird hier der gleiche Gegenstand ausführlicher und auf einer breiteren Basis erneut behandelt.
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A tauberian theorem

Mathematical Notes of the Academy of Sciences of the USSR, 1974
A lemma is formulated on the asymptotic behavior of functions of class “R”; this lemma is then used for strengthening a well-known Tauberian theorem of Keldysh type for a two-sided Stieltjes transform.
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A Generalized Tauberian Theorem

Canadian Journal of Mathematics, 1958
Let {s(n)} be a real sequence and let x be any number in the interval 0 < x ⩽ 1. Representing x by a non-terminating binary decimal expansion we shall denote by {s(n,x)} the subsequence of {s(n)} obtained by omitting s(k) if and only if there is a 0 in the decimal place in the expansion of x. With this correspondence it is then possible to speak of “
Keogh, F. R., Petersen, G. M.
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A Tauberian Theorem for Partitions

The Annals of Mathematics, 1941
The author's principal aim is to deduce the asymptotic formulas \[ p(n)\sim e^{\pi\sqrt{2n/3}}/4\sqrt 3 n,\quad q(n) \sim e^{\pi\sqrt{n/3}}/4\cdot 3^{\frac14}n^{\frac34},\quad n\to\infty, \] from reasonably simple properties of the generating functions for \(p(n)\) and \(q(n)\), the number of unrestricted partitions of \(n\) and the number of ...
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Tauberian theorems − II

1994
Abstract This chapter concentrates on the more delicate Tauberian theorems for Borel-type methods.
Bruce Shawyer, Bruce Watson
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Tauberian Theorems for Integrals

Canadian Journal of Mathematics, 1963
When, for the generalized summation of series, we use A and B methods, giving A and B sums, respectively, we say that the A method is included in the B method, A ⊂ B, if the B sum exists and is equal to the A sum whenever the latter exists. A theorem proving such a result is called an Abelian theorem.
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Tauberian Theorems with Remainder

Journal of the London Mathematical Society, 1985
Suppose f and g are nondecreasing functions with finite Laplace transforms \(\hat f\) and \(\hat g\). In the paper we discuss conditions under which as \(x\to \infty\), \(\hat f(\frac{1}{x})-\hat g(\frac{1}{x})=0(a(x))\) implies \(f(x)-g(x)=O(b(x))\) for certain classes of functions g(x),a(x) and b(x), thereby extending a result of \textit{A. E. Ingham}
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