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Some Extensions of Hardy's Inequality

Published online by Cambridge University Press:  20 November 2018

Ling-Yau Chan
Ling-Yau Chan*
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong
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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
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 2 , 01 June 1979 , pp. 165 - 169
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