Original scientific paper

On a new class of Hardy-type inequalities with fractional integrals and fractional derivatives

Sajid Iqbal ; Department of Mathematics, University of Sargodha, Sub-Campus Bhakkar, Bhakkar, Pakistan
Kristina Krulić Himmelreich ; Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia

Abstract

This paper is devoted to a new class of general weighted
Hardy-type inequalities for arbitrary convex functions with some applications to different type of fractional integrals and fractional derivatives.

Keywords

Hardy-type inequalities; convex function; kernel; fractional derivative; fractional integrals

Hrčak ID:

127650

URI

https://hrcak.srce.hr/127650

Publication date:

30.9.2014.

Visits: 1.550 *