Numerical determination of the Titchmarsh-Weyl m -coefficient and its applications to HELP inequalities

DOI10.1098/rspa.1989.0122zbMath0694.65039OpenAlexW1994137026MaRDI QIDQ3470070

V. G. Kirby, B. Malcolm Brown, John D. Pryce

Publication date: 1989

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1989.0122

zbMATH Keywords

numerical resultsTitchmarsh-Weyl functionsingular differential equationsDirichlet and Neumann eigenvaluesH. Weyl's theoryHardy-Littlewood-Polya integral inequalities

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (4)

Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function ⋮ On a new algorithm for the computation of enclosures for the Titchmarsh-Weyl \(m\)-function ⋮ A survey of some norm inequalities ⋮ A numerical investigation of HELP inequalities

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