Several new inequalities of the Hermite–Hadamard type are established for functions whose derivatives are s-convex in the second sense in the absolute value. Some applications to special means of positive real numbers are also presented.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 10, pp. 1380–1397, October, 2015.
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Latif, M.A. On Some New Inequalities of Hermite–Hadamard Type for Functions Whose Derivatives are s-Convex in the Second Sense in the Absolute Value. Ukr Math J 67, 1552–1571 (2016). https://doi.org/10.1007/s11253-016-1172-y
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DOI: https://doi.org/10.1007/s11253-016-1172-y