Results 151 to 160 of about 800 (199)

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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Tauberian Theorems for the Wavelet Transform [PDF]

Journal of Fourier Analysis and Applications, 2010
We make a complete wavelet analysis of asymptotic properties of distributions. The study is carried out via Abelian and Tauberian type results, connecting the boundary asymptotic behavior of the wavelet transform with local and non-local quasiasymptotic ...
Jasson Vindas, Stevan Pilipovic, Dusan Rakic   +2 more
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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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The Simplest Tauberian Theorem

Mathematical Notes, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tauberian Theorem of Erdős Revisited

Combinatorica, 2001
The aim of this paper is to present a simplified proof of the following Tauberian remainder theorem of \textit{P. Erdős} [J. Indian Math. Soc., n. Ser. 13, 131-144 (1949; Zbl 0034.31501)] saying that if \(a_n\geq 0\), \(n \geq 1\), then we have with \(s_n=\sum_{k=1}^n a_k\) \((n \in \mathbb{N})\) that \[ \sum_{k=1}^na_k(s_{n-k}+k)=n^2+O(n) \quad\text ...
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