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Acta Mathematica Vietnamica

Reverses of the Jensen inequality in terms of first derivative and applications

icon-email S. S. Dragomir

Abstract

Two new reverses of the celebrated Jensen integral inequality for convex functions with applications for means, the Hölder inequality and $f$-divergence measures in information theory are given.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv