Results 61 to 70 of about 733 (210)
Some Tauberian Remainder Theorems for Holder Summability
In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory
Umit Totur, Muhammet Ali Okur
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Regularity and asymptotics of densities of inverse subordinators
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 +2 more
wiley +1 more source
A Tauberian theorem for the product of Abel and Cesaro summability methods
In this paper, we prove a Tauberian theorem for the product of the Abel method and the Cesaro method of order alpha, which improves some classical Tauberian theorems for the Abel and Cesaro summability ...
Canak, Ibrahim, Erdem, Yilmaz
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The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
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TAUBERIAN THEOREM FOR THE OISTRIBUTIONAL STIELTJES TRANSFORMATION [PDF]
. In this paper we use the notion of L-quasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional ...
D Nikoli-Despotovi, S Pilipovi
core
On Karamata's proof of the Landau-Ingham Tauberian theorem
This is a self-contained exposition of (a generalization of) Karamata’s little known elementary proof of the Landau-Ingham Tauberian theorem, a result in real analysis from which the Prime Number Theorem follows in a few ...
Michael Müger, Müger, M.H.A.H.
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Tauberian Remainder Theorems for the Weighted Mean Method of Summability
Using the weighted general control modulo, we prove several Tauberian remainder theorems for the weighted mean method of summability. Our results generalize the results proved by Meronen and Tammeraid [Math. Model. Anal. 18 (1) 2013, 97–102].
Sefa Anil Sezer, Ibrahim Canak
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A Remark on Wiener's Tauberian Theorem [PDF]
2. P. J. Cohen, The independence of the continuum hypothesis, Proc. Nat. Acad. Sci. U. S. A. 50 (1963), 1143-1148; 51 (1964), 105-110. 3. H. J. Keisler, Ultraproducts and saturated models, Indag. Math. 26 (1964), 178186. 4. M. Morley and R. Vaught, Homogeneous universal models, Math. Scand. 11 (1962), 37-57. 5. A. Tarski and R.
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A Generalization of Rényi’s Parking Problem
Background. A generalization of the A. Rényi’s stochastic parking model is considered. In our model, the probability distribution of the left end of a parked car is a mixture of a uniform distribution and a degenerated one.
Andrii B. Ilienko, Vlad V. Fatenko
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A multidimensional Tauberian theorem for Laplace transforms of ultradistributions
We obtain a multidimensional Tauberian theorem for Laplace transforms of Gelfand-Shilov ultradistributions. The result is derived from a Laplace transform characterization of bounded sets in spaces of ultradistributions with supports in a convex acute ...
Vindas Diaz, Jasson, Neyt, Lenny
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