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Pregled bibliografske jedinice broj: 609082

Extensions of the Hermite-Hadamard inequality with applications


Klaričić Bakula, Milica; Pečarić, Josip; Perić, Jurica
Extensions of the Hermite-Hadamard inequality with applications // MATHEMATICAL INEQUALITIES & APPLICATIONS, 15 (2012), 4; 899-921 (međunarodna recenzija, članak, znanstveni)


Naslov
Extensions of the Hermite-Hadamard inequality with applications

Autori
Klaričić Bakula, Milica ; Pečarić, Josip ; Perić, Jurica

Izvornik
MATHEMATICAL INEQUALITIES & APPLICATIONS (1331-4343) 15 (2012), 4; 899-921

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hermite-Hadamard inequality; Fejér inequality; Hammer-Bullen inequality; linear functionals

Sažetak
The main aim of this paper is to give improvements of various forms of the Hermite-Hadamard inequality, namely, that of Fejèr, Lupaş, Brenner-Alzer, Beesack-Pečarić. It is interesting that these improvements also imply the Hammer-Bullen inequality which deals with a comparison of the left-hand and the right-hand side of the Hermite-Hadamard inequality. These improvements are given in terms of positive linear functionals. Obtained results are used in constructing a new family of exponentially convex functions.

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
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet