Weighted Hardy-type inequalities involving convex function for fractional calculus operators

The aim of this paper is to establish some new weighted Hardy-type inequalities involving convex and monotone convex functions using Hilfer fractional derivative and fractional integral operator with generalized Mittag-Leffler function in its kernel. We also discuss one dimensional cases of our rela...

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Bibliographic Details
Main Authors: Sajid Iqbal, Josip Pečarić, Lars-Erik Persson, Zivorad Tomovski
Format: Article
Language:English
Published: Elsevier 2018-08-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S234680921730106X