Pregled bibliografske jedinice broj: 565634
Generalization of an Inequality for Integral Transforms with Kernel and Related Results
Generalization of an Inequality for Integral Transforms with Kernel and Related Results // Journal of inequalities and applications, 2010 (2010), 948430, 17 doi:10.1155/2010/948430 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 565634 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of an Inequality for Integral Transforms with Kernel and Related Results
Autori
Iqbal, Sajid ; Pečarić, Josip ; Zhou, Yong
Izvornik
Journal of inequalities and applications (1025-5834) 2010
(2010);
948430, 17
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
integral transforms ; kernel
Sažetak
We establish a generalization of the inequality introduced by Mitrinović and Pečarić in 1988. We prove mean value theorems of Cauchy type for that new inequality by taking its difference. Furthermore, we prove the positive semidefiniteness of the matrices generated by the difference of the inequality which implies the exponential convexity and logarithmic convexity. Finally, we define new means of Cauchy type and prove the monotonicity of these means.
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
Profili:
Josip Pečarić
(autor)
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
