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Opial-Type Inequalities Involving Higher Order Derivatives

โœ Scribed by R.P. Agarwal; P.Y.H. Pang

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
440 KB
Volume
189
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Sharp Opial-Type Inequalities Involving
Sharp Opial-Type Inequalities Involving Higher Order Derivatives of Two Functions
โœ Ravi P. Agarwal; Peter Y. H. Pang ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 491 KB

In this paper we shall offer very general Opial-type inequalities involving higher order derivatives of two functions. From these inequalities we then deduce extended and improved versions of several recent results.

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โœ M. Bildhauer; M. Fuchs; V. G. Osmolovskii ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 173 KB

## Abstract We consider the problem of minimizing 0<__p__<1, __h__โˆˆโ„, __ฯƒ__>0, among functions __u__:โ„^__d__^โŠƒฮฉโ†’โ„^__d__^, __u__~โˆฃโˆ‚ฮฉ~=0, and measurable characteristic functions ฯ‡:ฮฉโ†’โ„. Here ฦ’^+^~__h__~, ฦ’^โˆ’^, denote quadratic potentials defined on the space of all symmetric __d__ร—__d__ matrices, __