Pregled bibliografske jedinice broj: 843755
Improvements of the Hermite–Hadamard inequality on time scales
Improvements of the Hermite–Hadamard inequality on time scales // Journal of mathematical inequalities, 9 (2015), 3; 913-934 doi:10.7153/jmi-09-75 (međunarodna recenzija, članak, znanstveni)
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Naslov
Improvements of the Hermite–Hadamard inequality on time scales
Autori
Bibi, Rabia ; Pečarić, Josip ; Perić, Jurica
Izvornik
Journal of mathematical inequalities (1846-579X) 9
(2015), 3;
913-934
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
integration ; time scale ; Hermite–Hadamard inequality ; converse Jensen’s inequality
Sažetak
In this paper we give refinements of converse Jensen’s inequality as well as of the Hermite-Hadamard inequality on time scales. We give mean value theorems and investigate logarithmic and exponential convexity of the linear functionals related to the obtained refinements. We also give several examples which illustrate possible applications for our results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada doi
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