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Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure (CROSBI ID 235213)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mikić, Rozarija ; Pečarić, Josip ; Rodić, Mirna Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure // Journal of inequalities and applications, (2017), 1; 4-1-4-. doi: 10.1186/s13660-016-1274-y

Podaci o odgovornosti

Mikić, Rozarija ; Pečarić, Josip ; Rodić, Mirna

engleski

Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure

We derive the Levinson type generalization of the Jensen and the converse Jensen inequality for real Stieltjes measure, not necessarily positive. As a consequence, also the Levinson type generalization of the Hermite-Hadamard inequality is obtained. Similarly, we derive the Levinson type generalization of Giaccardi’s inequality. The obtained results are then applied for establishing new mean-value theorems. The results from this paper represent a generalization of several recent results.

Jensen’s inequality ; converse Jensen’s inequality ; Hermite-Hadamard’s inequality ; Giaccardi’s inequality ; Levinson’s inequality ; Green function ; mean-value theorems

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Podaci o izdanju

(1)

2017.

4-1-4-

objavljeno

1029-242X

10.1186/s13660-016-1274-y

Povezanost rada

Matematika

Poveznice
Indeksiranost