Skoči na glavni sadržaj

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 534=22, 2018.

Izvorni znanstveni članak

https://doi.org/10.21857/ydkx2cr509

Weighted Hardy-type inequalities involving fractional calculus operators

Sajid Iqbal orcid id orcid.org/0000-0002-3162-0945 ; Department of Mathematics, University of Sargodha, Sub-Campus Mianwali, Mianwali, Pakistan
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
Muhammad Samraiz ; Department of Mathematics, University of Sargodha, Sargodha, Pakistan
Živorad Tomovski ; Faculty of Mathematics and Natural Sciences, Gazi Baba bb, 1000 Skopje, Macedonia

Puni tekst: engleski pdf 169 Kb

str. 77-91

preuzimanja: 553

citiraj

Sažetak

The aim of this paper is to give a new class of general weighted Hardy-type inequalities involving an arbitrary convex function with some applications of generalized fractional calculus convolutive operators which contain Gauss-hypergeometric function, generalized Mittag-Leffler function and Hilfer fractional derivative operator, in the kernel.

Ključne riječi

Inequalities; convex function; fractional derivatives; generalized fractional integral operator

Hrčak ID:

206196

URI

https://hrcak.srce.hr/206196

Datum izdavanja:

28.9.2018.

Posjeta: 1.235 *