Results 111 to 120 of about 167 (163)

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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Tauberian theorems

2000
Abstract In Chapter 2 we dealt mainly with inclusion theorems and with Toeplitz-Silverman-type theorems and, in Chapter 3, with their application to special matrix methods. In contrast to that, in this chapter we turn to Tauberian theorems.
Johann Boos, Peter Cass
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The Simplest Tauberian Theorem

Mathematical Notes, 2003
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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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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

Israel Journal of Mathematics, 1963
Tauberian constants and estimates are calculated for the difference of two linear transforms from the form (1.1) of the same function satisfying Tauberian conditions.
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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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Extensions of Milin's Tauberian Theorem

Journal of the London Mathematical Society, 1988
Suppose that g is analytic in the unit disk. Set \(f=e\) g, and let \(s_ n(f)\) denote the nth partial sum of the power series of f. I. M. Milin proved a Tauberian theorem: If g is in the Dirichlet space, then \[ \lim_{r\to 1}| f(re^{i\theta})| =\ell \quad implies\quad \lim_{n\to \infty}| s_ n(f)(e^{i\theta})| =\ell, \] and \[ \lim_{r\to 1}f(re^{i ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Tauberian Theorems.

The American Mathematical Monthly, 1960
Gordon M. Peterson, H. R. Pitt
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