Pregled bibliografske jedinice broj: 954188
Weighted Hardy-type inequalities involving convex function for fractional calculus operators
Weighted Hardy-type inequalities involving convex function for fractional calculus operators // Transactions of A. Razmadze Mathematical Institute, 172 (2018), 2; 205-222 (međunarodna recenzija, članak, znanstveni)
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Naslov
Weighted Hardy-type inequalities involving convex function for fractional calculus operators
Autori
Iqbal, Sajid ; Pečarić, Josip ; Persson, Lars-Erik ; Tomovski, Živorad
Izvornik
Transactions of A. Razmadze Mathematical Institute (2346-8092) 172
(2018), 2;
205-222
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Convex function ; Kernel ; Hilfer fractional derivatives ; Fractional integral
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
