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Hermite-Hadamard-type inequalities for generalized convex functions. (English) Zbl 1173.26007

Author’s abstract: The aim of this paper is to extend the classical Hermite-Hadamard inequality to the case when the convexity notion is introduced by a Chebyshev system.

MSC:

26A51 Convexity of real functions in one variable, generalizations
26B25 Convexity of real functions of several variables, generalizations
26D15 Inequalities for sums, series and integrals