Weighted Opial inequalities
Copyright policy )Weighted Opial inequalities
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.
fractional derivatives, Fractional derivatives and integrals, Hölder inequality, weighted Opial type inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Weighted Opial inequality; Holder inequality; integral operator
fractional derivatives, Fractional derivatives and integrals, Hölder inequality, weighted Opial type inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Weighted Opial inequality; Holder inequality; integral operator
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!