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Improvements of the Hermite–Hadamard inequality on time scales


Bibi, Rabia; Pečarić, Josip; Perić, Jurica
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)


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


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

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


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