Some Extensions of Hardy's Inequality

Ling-Yau Chan

doi:10.4153/CMB-1979-023-5

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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.

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

Crossref Citations

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Some Extensions of Hardy's Inequality

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