Rad HAZU, Matematičke znanosti, Vol. 18 (2014), 91-106.

ON A NEW CLASS OF HARDY-TYPE INEQUALITIES WITH FRACTIONAL INTEGRALS AND FRACTIONAL DERIVATIVES

Sajid Iqbal, Kristina Krulić and Josip Pečarić

Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a 10000 Zagreb, Croatia
e-mail: kkrulic@ttf.hr

Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a 10000 Zagreb, Croatia
e-mail: pecaric@element.hr

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.

2010 Mathematics Subject Classification.   26D10, 26D15, 26A33.

Key words and phrases.   Hardy-type inequalities, convex function, kernel, fractional derivative, fractional integrals.

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