Numerical Determination of the Titchmarsh-Weyl m-Coefficient and Its Applications to HELP Inequalities

This paper is concerned with numerical methods for finding m(λ), the Titchmarsh-Weyl m-coefficient, for the singular eigenvalue equation -y" + qy = λy on [0, ∞) and the results are applied to the problem of finding best constants for Everitt’s extension to the Hardy-Little-wood-Pόlya (HELP) int...

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Veröffentlicht in:	Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1989-11, Vol.426 (1870), p.167-188
Hauptverfasser:	Brown, B. M., Kirby, V. G., Pryce, J. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytical estimating Approximation Boundary conditions Circles Eigenvalues Error rates Exact sciences and technology Mathematical inequalities Mathematical integrals Mathematics Null set Numerical analysis Numerical analysis. Scientific computation Numerical methods Ordinary differential equations Sciences and techniques of general use
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