Pregled bibliografske jedinice broj: 954174
Hardy-type inequalities in quotients involving fractional calculus operators
Hardy-type inequalities in quotients involving fractional calculus operators // Journal of Mathematical Analysis, 8 (2017), 5; 47-70 (međunarodna recenzija, članak, znanstveni)
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Naslov
Hardy-type inequalities in quotients involving
fractional calculus operators
Autori
Iqbal, Sajid ; Pečarić, Josip ; Samraiz, Muhammad
Izvornik
Journal of Mathematical Analysis (2217-3412) 8
(2017), 5;
47-70
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities ; Convex function ; Hilfer fractional derivative ; Generalized fractional integral operator ; Exponential convexity
Sažetak
In this paper we give the Hardy-type inequalities in quotients for fractional calculus operators. As application of our general results we give the inequalities for generalized fractional integral operator, fractional integral operator with generalized Mittag-Leffler function in its kernel, Hilfer fractional derivative, Widder’s derivative and linear differential operator. We establish the mean value theorems and means for our related result. We also discuss the exponential convexity of the linear functional with related examples
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
