engleski

New improvement of the converse Jensen inequality

We give a new refinement of the converse Jensen inequality for linear functionals as well as improvements of some related results. Especially, we give two refinements of the converse Holder inequality for functionals and a refinement of the converse Minkowski inequality for functionals. Application on the quasi-arithmetic and power mean is given.

convex functions ; positive linear functional ; converse Jensen inequality ; converse Holder inequality ; converse Minkowski inequality ; quasi-arthmetic mean

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