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) integral inequality.

2004 ◽  
Author(s):  
Andrew D. Ketsdever ◽  
Michael T. Clabough ◽  
Sergey F. Gimelshein ◽  
Alina Alexeenko

2021 ◽  
Vol 238 ◽  
pp. 109748
Author(s):  
U. Izquierdo ◽  
L. Galera-Calero ◽  
I. Albaina ◽  
A. Vázquez ◽  
G.A. Esteban ◽  
...  

2013 ◽  
Vol 85 (1) ◽  
pp. 112-122 ◽  
Author(s):  
Peter Groche ◽  
Christian Mueller ◽  
Tilman Traub ◽  
Katja Butterweck

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