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Generalized Hermite-Hadamard type integral inequalities. (English) Zbl 1305.26055
Summary: In this paper, we have established Hermite-Hadamard type inequalities for functions whose 3rd derivatives are \(s\)-convex depending on a parameter. These results have generalized some relationships with [L. Chun and F. Qi, J. Inequal. Appl. 2013, Article ID 451, 10 p. (2013; Zbl 1297.26047)].

MSC:
26D15 Inequalities for sums, series and integrals
26A51 Convexity of real functions in one variable, generalizations
26A33 Fractional derivatives and integrals
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