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Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function

Published online by Cambridge University Press:  24 October 2008

B. M. Brown ,
V. G. Kirby ,
W. D. Evans  and
M. Plum
B. M. Brown
Affiliation:
Department of Computing Mathematics, University of Wales College of Cardiff, Senghennydd Road, Cardiff CF2 4YV
V. G. Kirby
Affiliation:
Department of Computing Mathematics, University of Wales College of Cardiff, Senghennydd Road, Cardiff CF2 4YV
W. D. Evans
Affiliation:
School of Mathematics, University of Wales College of Cardiff, Senghennydd Road, Cardiff CF2 4AG
M. Plum
Affiliation:
Technische Universität Clausthal, Institut für Mathematik, Erzstr. 1. W-3392 Clausthal-Zellerfeld
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Abstract

Recent efforts have been focused on using numerical methods to estimate the Titchmarsh–Weyl m-coefficient. In this paper we look at interval analytic methods to provide provable bounds for these values.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 3 , May 1993 , pp. 583 - 599
Copyright
Copyright © Cambridge Philosophical Society 1993

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