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More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity (CROSBI ID 171764)

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Abramovich, Shoshana ; Farid, Ghulam ; Ivelić, Slavica ; Pečarić, Josip More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity // International journal of pure and applied mathematics, 69 (2011), 1; 97-116

Podaci o odgovornosti

Abramovich, Shoshana ; Farid, Ghulam ; Ivelić, Slavica ; Pečarić, Josip

engleski

More on Cauchy's means and generalizations of Hadamard inequality via converses of Jensen's inequality and superquadracity

In this paper we present results involving positive linear functionals which generalize results that refine the Hadamard inequality. We also present refinements of results proved for Jensen's inequality and introduce new means of Cauchy's type using converses of Jensen's inequality for superquadratic functions.

convex functions; Hermite-Hadamard inequalities; superquadratic functions; Cauchy means; monotonicity

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Podaci o izdanju

69 (1)

2011.

97-116

objavljeno

1311-8080

Povezanost rada

Građevinarstvo, Matematika

Indeksiranost