SHARP OPIAL-TYPE INEQUALITIES INVOLVING R-DERIVATIVES AND THEIR APPLICATIONS

Authors
AGARWAL RP
Citation
Rp. Agarwal, SHARP OPIAL-TYPE INEQUALITIES INVOLVING R-DERIVATIVES AND THEIR APPLICATIONS, Tohoku Mathematical Journal, 47(4), 1995, pp. 567-593
Citations number
28
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
47
Issue
4
Year of publication
1995
Pages
567 - 593
Database
ISI
SICI code
0040-8735(1995)47:4<567:SOIIRA>2.0.ZU;2-F
Abstract
In this paper we offer very general Opial-type inequalities involving higher order r-derivatives. From these inequalities we then deduce ext ended and improved versions of several recent results. Some applicatio ns which dwell upon the importance of the obtained inequalities are al so included.