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On extensions and refinements of Hermite-Hadamard inequalities for convex functions. (English) Zbl 1042.26013

The paper contains several inequalities for convex functions on a compact interval. As particular cases, the classical Hermite-Hadamard inequalities are obtained.

MSC:

26D15 Inequalities for sums, series and integrals
26A51 Convexity of real functions in one variable, generalizations
Full Text: DOI