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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)

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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

Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

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

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Milica Klaričić-Bakula (autor)

Avatar Url Jurica Perić (autor)

Citiraj ovu publikaciju:

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)
Klaričić Bakula, M., Pečarić, J. & Perić, J. (2012) Extensions of the Hermite-Hadamard inequality with applications. MATHEMATICAL INEQUALITIES & APPLICATIONS, 15 (4), 899-921.
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2012}, pages = {899-921}, keywords = {Hermite-Hadamard inequality, Fej\'{e}r inequality, Hammer-Bullen inequality, linear functionals}, journal = {MATHEMATICAL INEQUALITIES and APPLICATIONS}, volume = {15}, number = {4}, issn = {1331-4343}, title = {Extensions of the Hermite-Hadamard inequality with applications}, keyword = {Hermite-Hadamard inequality, Fej\'{e}r inequality, Hammer-Bullen inequality, linear functionals} }
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2012}, pages = {899-921}, keywords = {Hermite-Hadamard inequality, Fej\'{e}r inequality, Hammer-Bullen inequality, linear functionals}, journal = {MATHEMATICAL INEQUALITIES and APPLICATIONS}, volume = {15}, number = {4}, issn = {1331-4343}, title = {Extensions of the Hermite-Hadamard inequality with applications}, keyword = {Hermite-Hadamard inequality, Fej\'{e}r inequality, Hammer-Bullen inequality, linear functionals} }

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

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