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An extension of the Hermite-Hadamard inequality for convex symmetrized functions. (English) Zbl 1301.26007
A Hermite-Hadamard type inequality is established for a new class of functions which are not necessarily convex.

MSC:
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
26D10 Inequalities involving derivatives and differential and integral operators
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