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Improvements and generalizations of Converse Jensen's Inequality and the Jessen-Mercer Inequality

2018
In this talk we give a new refinement of the converse Jensen inequality and the Jessen-Mercer 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.
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