Results 41 to 50 of about 1,025 (106)
Density by Moduli and Lacunary Statistical Convergence
Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 We have introduced and studied a new concept of f‐lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f‐lacunary statistical convergence are equivalent on bounded sequences.
Vinod K. Bhardwaj +2 more
wiley +1 more source
In-Degree and PageRank of Web pages: Why do they follow similar power laws? [PDF]
, 2006 The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree.
Litvak, N. +2 more
core +2 more sources
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
On Ikehara type Tauberian theorems with $O(x^��)$ remainders [PDF]
, 2016 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^ )$ with $ <1$ under certain assumptions on $f$.
openaire +1 more source
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
Géza Freud's work on Tauberian remainder theorems
Journal of Approximation Theory, 1986 This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
openaire +2 more sources
A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions
, 2019 We introduce a set of tools which simplify and streamline the proofs of limit theorems concerning near-critical particles in branching random walks under optimal assumptions. We exemplify our method by giving another proof of the Seneta-Heyde norming for
Boutaud, Pierre, Maillard, Pascal
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Tauberian remainder theorems for iterations of methods of weighted means
, 2019 ###EgeUn###
Sezer, Sefa Anil, Canak, Ibrahim
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Quantized Kronecker flows and almost periodic quantum field theory
, 1996 We define and study the properties of the infinite dimensional quantized Kronecker flow. This $\bC^*$-dynamical system arises as a quantization of the corresponding flow on an infinite dimensional torus.
Klimek, Slawomir, Lesniewski, Andrzej
core +1 more source
On a Tauberian theorem with the remainder term and its application to the Weyl law
Journal of Mathematical Analysis and Applications, 2013 Abstract The purpose of this paper is twofold. First, we prove a generalization of the classical Tauberian theorem for the Laplace transform obtained by A. M. Subhankulov which gives an optimal bound for the remainder term. Second, we apply the Subhankulov theorem to a suitably transformed trace formula in the setting of symmetric spaces of real rank
Lejla Smajlović, Lamija Šćeta
openaire +1 more source