Weighted Hardy-type inequalities involving convex function for fractional calculus operators (CROSBI ID 254558)
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Podaci o odgovornosti
Iqbal, Sajid ; Pečarić, Josip ; Persson, Lars-Erik ; Tomovski, Živorad
engleski
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 related results. As a special case of our general results we obtain the results of Iqbal et al. (2017). Moreover, the refinement of Hardy-type inequalities for Hilfer fractional derivative is also included.
Convex function ; Kernel ; Hilfer fractional derivatives ; Fractional integral
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Povezanost rada
Matematika