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
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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