Strengthened Converses of the Jensen and Edmundson–lah–ribarič Inequalities
نویسندگان
چکیده
In this paper, we give converses of the Jensen and Edmundson– Lah–Ribarič inequalities which are more accurate than the existing ones. These converses are given in a difference form and they rely on the recent refinement of the Jensen inequality obtained via linear interpolation of a convex function. As an application, we also derive improved converse relations for generalized means, for the Hölder and Hermite–Hadamard inequalities as well as for the inequalities of Giaccardi and Petrović.
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