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Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications

Published online by Cambridge University Press:  20 November 2018

Kong-Ming Chong
Kong-Ming Chong*
Affiliation:
University of Malaya, Kuala Lumpur 22-11, Malaysia
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In [6], by means of convex functions Φ :R→R, Hardy, Littlewood and Pólya proved a theorem characterizing the strong spectral order relation for any two measurable functions which are defined on a finite interval and which they implicitly assumed to be essentially bounded (cf. [6, the approximation lemma on p. 150 and Theorem 9 on p. 151 of their paper]; see also L. Mirsky [10, pp. 328-329] and H. D. Brunk [1,Theorem A, p. 820]).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 6 , December 1974 , pp. 1321 - 1340
Copyright
Copyright © Canadian Mathematical Society 1974

References

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