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Inequalities for a function involving its integral and derivative

Published online by Cambridge University Press:  14 November 2011

Horng Jaan Li  and
Cheh Chih Yeh
Horng Jaan Li
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan 32054
Cheh Chih Yeh
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan 32054
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Abstract

We give a concise approach to generalising the inequalities of Wirtinger, Hardy, Weyl and Opial by using the well-known inequality: if X and Y are non-negative, then

for p > 1 (0 < p < 1), respectively.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 133 - 151
Copyright
Copyright © Royal Society of Edinburgh 1995

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