Results 41 to 50 of about 4,159,680 (186)
On PNT equivalences for Beurling numbers [PDF]
, 2017 In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
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Generalization of the effective Wiener-Ikehara theorem [PDF]
, 2012 International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
ANNE de ROTON +4 more
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Tauberian conditions with controlled oscillatory behavior
Applied Mathematics Letters, 2012 The authors generalize the Tauberian theorems of Tauber and of Hardy and Littlewood of the Abel summability method. The conditions of the main theorem are stated in terms of the control modulo of the oscillatory behaviour of the sequence involved.
Allahverdiev, Bilender +2 more
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On a theorem of W. Meyer-König and H. Tietz
International Journal of Mathematics and Mathematical Sciences, 2005 Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L ...
İBrahım Çanak +2 more
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Tauberian Conditions for Almost Convergence in a Geodesic Metric Space [PDF]
Results in Mathematics, 2020 24 pages, 1 ...
Khatibzadeh, Hadi, Pouladi, Hadi
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A tauberian theorem for the conformal bootstrap
, 2017 For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(
Qiao, Jiaxin, Rychkov, Slava
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Singular Perturbation of Nonlinear Systems with Regular Singularity
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 We extend Balser‐Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′ = F(ε, z, f) with F a Cν‐valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +2 more
wiley +1 more source
Generalized Almost Convergence and Core Theorems of Double Sequences
Abstract and Applied Analysis, 2014 The idea of [λ, μ]-almost convergence (briefly, F[λ, μ]-convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014). In this paper first we define a norm on F[λ, μ] such that it is a Banach space and then we define and ...
S. A. Mohiuddine, Abdullah Alotaibi
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Duals and Matrix Classes Involving Cesàro Type Classes of Sequences of Fuzzy Numbers
Advances in Fuzzy Systems, Volume 2018, Issue 1, 2018., 2018 We first define Cesàro type classes of sequences of fuzzy numbers and equip the set with a complete metric. Then we compute the Köthe‐Toeplitz dual and characterize some related matrix classes involving such classes of sequences of fuzzy numbers.
Hemen Dutta +2 more
wiley +1 more source
Solyanik estimates in harmonic analysis
, 2014 Let $\mathcal{B}$ denote a collection of open bounded sets in $\mathbb{R}^n$, and define the associated maximal operator $M_{\mathcal{B}}$ by $$ M_{\mathcal{B}}f(x) := \sup_{x \in R \in \mathcal{B}} \frac{1}{|R|}\int_R |f|.
A. Córdoba +3 more
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