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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical proceedings of the Cambridge Philosophical Society 1993-05, Vol.113 (3), p.583-599
Hauptverfasser:	Brown, B. M., Kirby, V. G., Evans, W. D., Plum, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Ordinary differential equations Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0305-0041 1469-8064
DOI:	10.1017/S0305004100076222