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Extensions of the Hermite-Hadamard inequality with applications (CROSBI ID 188656)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Klaričić Bakula, Milica ; Pečarić, Josip ; Perić, Jurica Extensions of the Hermite-Hadamard inequality with applications // Mathematical inequalities & applications, 15 (2012), 4; 899-921

Podaci o odgovornosti

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

engleski

Extensions of the Hermite-Hadamard inequality with applications

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.

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

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Podaci o izdanju

15 (4)

2012.

899-921

objavljeno

1331-4343

Povezanost rada

Matematika

Indeksiranost