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Bounds for the asymptotic order parameter of the stochastic Kuramoto model

Article ID Journal Published Year Pages File Type
5773759 Journal of Approximation Theory 2017 12 Pages PDF
Abstract
Turán type inequalities for modified Bessel functions of the first kind are used to deduce some sharp lower and upper bounds for the asymptotic order parameter of the stochastic Kuramoto model. Moreover, approximation from the Lagrange inversion theorem and a rational approximation are given for the asymptotic order parameter.
Keywords
33C1039B62Turán type inequalitiesModified Bessel functionsMonotonicity propertiesBoundsLagrange inversionApproximation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Bounds for the asymptotic order parameter of the stochastic Kuramoto model
Authors
István Mező, Árpád Baricz,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
33C10
39B62
Turán type inequalities
Modified Bessel functions
Monotonicity properties
Bounds
Lagrange inversion
Approximation
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
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