Open AccessWeighted Opial inequalities
Author(s) -
J Koliha,
Josip Pečarić
Publication year - 2002
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.33.2002.308
Subject(s) - mathematics , inequality , pure mathematics , class (philosophy) , differential (mechanical device) , work (physics) , type (biology) , calculus (dental) , mathematical analysis , computer science , thermodynamics , physics , medicine , ecology , dentistry , artificial intelligence , biology
This paper presents a class of very general weighted Opial type inequalities. The notivation comes from the monograph of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, Kluwer Acad., Dordrecht 1995) and the work of Anastassiou and Pecaric (J. Math. Anal. Appl. 239 (1999), 402-418). Assuming only a very general inequality, we extend the latter paper in several directions. A new result generalizing the original Opial's inequality is obtained, and applications to fractional derivatives are given