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On some inequalities for relative semi-convex functions. (English) Zbl 1290.26034

Summary: We study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived. Several special cases are also discussed.

MSC:

26D15 Inequalities for sums, series and integrals
26A51 Convexity of real functions in one variable, generalizations
49J40 Variational inequalities
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References:

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