Some second-order integral inequalities of generalized Hardy type-Reference-Cited by-同舟云学术

Some second-order integral inequalities of generalized Hardy type

Published:1999 Issue:5 Volume:129 Page:947-958
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Florkiewicz B.,Wojteczek K.

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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