Pregled bibliografske jedinice broj: 486654
On an Inequality Of H.G. Hardy
On an Inequality Of H.G. Hardy // Journal of inequalities and applications, 2010 (2010), 264347, 23 doi:10.1155/2010/264347 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 486654 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On an Inequality Of H.G. Hardy
Autori
Iqbal, Sajid ; Krulić, Kristina ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2010
(2010);
264347, 23
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
The Riemann-Liouville fractional integrals ; convex function ; kernel
Sažetak
In this paper, we state, prove and discuss new general inequality for convex and increasing functions. As a special case of that general result we obtain new fractional inequalities involving fractional integrals and derivatives of Riemann--Liouville type. Consequently, we get the inequality of H.G. Hardy from 1918. We also obtain new results involving fractional derivatives of Canavati and Caputo types as well as fractional integrals of a function with respect to another function. Finally we apply our main result to multidimensional settings to obtain new results involving mixed Riemann--Liouville fractional integrals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
