A numerical investigation of HELP inequalities
DOI10.1007/BF03323138zbMath0795.65006OpenAlexW2094667423MaRDI QIDQ1320071
V. G. Kirby, B. Malcolm Brown, W. Desmond Evans
Publication date: 19 April 1994
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03323138
numerical resultsHardy-Littlewood inequalitybest constantshighly oscillatory solutionsTitchmarsh-Weyl \(m\)-coefficientGallivan integratorHardy-Everitt-Littlewood-Pólya inequality
Numerical methods for initial value problems involving ordinary differential equations (65L05) Algorithms for approximation of functions (65D15) Differential inequalities involving functions of a single real variable (34A40) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
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- On a class of integral inequalities of Hardy-Littlewood type
- Numerical determination of the Titchmarsh-Weyl m -coefficient and its applications to HELP inequalities
- An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
- On the location of the Weyl circles
- A return to the Hardy-Littlewood integral inequality
- A numerical method for the determination of the Titchmarsh-Weyl m -coefficient
- Automatic Solution of the Sturm-Liouville Problem
- Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials
- SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
- Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
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