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Some second-order integral inequalities of generalized Hardy type
Published online by Cambridge University Press: 14 November 2011
Abstract
A uniform method of obtaining various types of integral inequalities involving a function and its first derivative is extended to integral inequalities involving a function and its second derivative. Specifically, some quadratic integral inequalities of generalized Hardy type involving a function and its second derivative are derived and examined. The functions for which the inequalities hold are characterized by boundary conditions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 5 , 1999 , pp. 947 - 958
- Copyright
- Copyright © Royal Society of Edinburgh 1999
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