Title

Univariate hardy-type fractional inequalities

Abstract

Here we present integral inequalities for convex and increasing functions applied to products of functions. As applications we derive a wide range of fractional inequalities of Hardy type. They involve the left and right Riemann-Liouville fractional integrals and their generalizations, in particular the Hadamard fractional integrals. Also inequalities for left and right Riemann-Liouville, Caputo, Canavati and their generalizations fractional derivatives. These application inequalities are of Lp type, p ≥ 1, and exponential type, as well as their mixture. © Springer Science+Business Media New York 2013.

Publication Title

Springer Proceedings in Mathematics and Statistics

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