๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Sharp Opial-Type Inequalities Involving Higher Order Derivatives of Two Functions

โœ Scribed by Ravi P. Agarwal; Peter Y. H. Pang


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
491 KB
Volume
174
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


The effect of a penalty term involving h
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, __