Results 61 to 70 of about 4,159,680 (186)
On weighted generator of triple sequences and its Tauberian conditions
Gulf Journal of MathematicsThis paper presents a new perspective on the relationship between the (N, p, q, r) method and P-convergence for triple sequences.Our primary goal is to derive Tauberian conditions that dictate the behavior of the weighted generator sequence (zlmn) in ...
A. Jan, Tanweer Jalal
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Abel extensions of some classical Tauberian theorems
Creative Mathematics and Informatics, 2019 The well-known classical Tauberian theorems given for Aλ (the discrete Abel mean) by Armitage and Maddox in [Armitage, H. D and Maddox, J. I., Discrete Abel means, Analysis, 10 (1990), 177–186] is generalized. Similarly the ”one-sided” Tauberian theorems
Erdal Gül, Mehmet Albayrak
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Some Tauberian conditions for Cesàro summability method
Mathematica Slovaca, 2012 Abstract Let u = (u n) be a sequence of real numbers whose generator sequence is Cesàro summable to a finite number. We prove that (u n) is slowly oscillating if the sequence of Cesàro means of (ω n(m−1)(u)) is increasing and the following two conditions are hold: $$\
İbrahi̇m Çanak, Ümi̇t Totur
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Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
Optimal Bounds for the Variance of Self‐Intersection Local Times
International Journal of Stochastic Analysis, Volume 2016, Issue 1, 2016., 2016 For a Zd‐valued random walk (Sn) n∈N0, let l(n, x) be its local time at the site x∈Zd. For α∈N, define the α‐fold self‐intersection local time as Ln(α)≔∑xl(n, x) α. Also let LnSRW(α) be the corresponding quantities for the simple random walk in Zd. Without imposing any moment conditions, we show that the variance of the self‐intersection local time of ...
George Deligiannidis +2 more
wiley +1 more source
Applications of Tauberian Theorem for High-SNR Analysis of Performance over Fading Channels
, 2011 This paper derives high-SNR asymptotic average error rates over fading channels by relating them to the outage probability, under mild assumptions. The analysis is based on the Tauberian theorem for Laplace-Stieltjes transforms which is grounded on the ...
Tepedelenlioglu, Cihan, Zhang, Yuan
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Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.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
Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations
, 2012 In this paper, asymptotic properties of the loss probability are considered for an M/G/1/N queue with server vacations and exhaustive service discipline, denoted by an M/G/1/N -(V, E)-queue. Exact asymptotic rates of the loss probability are obtained for
Alfa +22 more
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The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.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
wiley +1 more source
Extended Tauberian conditions for \((C,1)\) summability method
Applied Mathematics Letters, 2011 The authors generalize the well-known classical Tauberian theorem given by \textit{G. H. Hardy} [Lond. M. S. Proc. (2) 8, 301--320 (1910; JFM 41.0278.02)]. Namely, they retrieve slow oscillation of a real sequence \((u_n)\) from \((C, 1)\) summability of its generator sequence by adding some conditions on the general control modulus of the oscillatory ...
Totur, Ümi̇t, Di̇k, Mehmet
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