Journal of Prime Research in Mathematics
Vol. 1 (2016), Issue 1, pp. 60 – 78
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
Hardy-type inequalities involving generalized fractional integrals via superquadratic functions
Sajid Iqbal
Department of Mathematics, University of Sargodha (Sub-Campus Bhakkar), Bhakkar, Pakistan.
Josip Pecaric
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovi´ca 28a, 10000
Zagreb, Croatia.
Muhammad Samraiz
Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
\(^{1}\)Corresponding Author: sajid uos2000@yahoo.com
Copyright © 2016 Sajid Iqbal, Josip Pecaric, Muhammad Samraiz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2016.
Abstract
The aim of this article is to give Hardy-type inequalities involving linear differential operator, Widder’s derivative and generalized fractional integral using superquadratic functions.
Keywords:
Inequality, Superquadratic function, Kernel, Green’s function, Linear differential operator, Widder’s derivative, Integral operator.