On the construction of Dirichlet series approximations for completely monotone functions

DOI10.1090/S0025-5718-2013-02725-1zbMath1290.41013OpenAlexW2062950452MaRDI QIDQ2871186

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Publication date: 22 January 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02725-1

zbMATH Keywords

approximationlinear viscoelasticityrelaxation moduluscompletely monotone functionsfinite Dirichlet seriesinter conversation equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Viscoelastic fluids (76A10) Approximation with constraints (41A29) Approximation by other special function classes (41A30)

Related Items

APPROXIMATION OF AND BY COMPLETELY MONOTONE FUNCTIONS ⋮ \(L^p\) approximation of completely monotone functions

Cites Work

• Radial numerical integrations based on the sinc function
• On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation
• The trapezoidal rule for analytic functions of rapid decrease
• Regularization of first kind integral equations with application to Couette viscometry
• APPROXIMATING THE KOHLRAUSCH FUNCTION BY SUMS OF EXPONENTIALS
• On the Volterra integral equation relating creep and relaxation
• On the inversion of the Volterra integral equation
• The representation of 𝑒^{-𝑥^{𝜆}} as a Laplace integral
• Approximation by Dirichlet series with nonnegative coefficients
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