Results 31 to 40 of about 3,795 (162)
Tauberian conditions for Cesàro summability of integrals
Applied Mathematics Letters, 2011 Suppose that \(f\) is a real continuous function and let \(s(x)=\int_{0}^{x}f(t)\,dt\). The Cesàro mean of \(s(x)\) is given by \(\sigma (s)(x)=x^{-1}\int_{0}^{x}s(t)\,dt\). If \(s(x)\rightarrow L\), then automatically \(\sigma (s)(x)\rightarrow L\), i.e., \(s(x)\) is Cesàro summable to \(L\).
Totur M., Çanak B.
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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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Bound on asymptotics of magnitude of three point coefficients in 2D CFT
Journal of High Energy Physics, 2020 We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead
Sridip Pal
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Multidimensional Tauberian theorems for vector-valued distributions [PDF]
, 2014 We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
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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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DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES
Проблемы анализа, 2016 In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichlet series. We use this result to study distribution of sum of unitary divisors in residue classes coprime with a module.
B. M. Shirokov, L. A. Gromakovskaya
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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
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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
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