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A very short proof of the Hermite-Hadamard inequalities. (English) Zbl 1451.26016

In this paper, a new short proof of the Hermite-Hadamard inequality is presented and discussed.

MSC:

26B25 Convexity of real functions of several variables, generalizations
26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals
Full Text: DOI

References:

[1] El Farissi, A., Simple proof and refinement of Hermite-Hadamard inequality, J. Math. Inequal., 4, 3, 365-369 (2010) · Zbl 1197.26017 · doi:10.7153/jmi-04-33
[2] Olbryś, A., On some inequalities equivalent to Wright-convexity, J. Math. Inequal, 9, 2, 449-461 (2015) · Zbl 1311.39034 · doi:10.7153/jmi-09-38
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