Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-07-05T15:06:43.415Z Has data issue: false hasContentIssue false

Some Extensions of Hardy's Inequality

Published online by Cambridge University Press:  20 November 2018

Ling-Yau Chan*
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This note is concerned with some new integral inequalities which are extensions of the results in [2]. The method by which these results are obtained is due to D. C. Benson [1]. Throughout the present note we shall assume 1<p<∞ and f(x) a non-negative measurable function.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Benson, D. C., Inequalities involving integrals of functions and their derivatives, J. Math. Anal. Appl. 17 (1967),292-308.Google Scholar
2. Shum, D. T., On integral inequalities related to Hardy's, Canad. Math. Bull. 14 (1971),225-230.Google Scholar
3. Zygmund, A., Trigonometric series, I, 2nd edition, Cambridge, 1968.Google Scholar