Hermite–Hadamard type inequalities for the m- and (α, m)-geometrically convex functions

By Bo-Yan Xi, Ruixue Bai, Feng Qi (祁锋). Aequationes Mathematicae, 2012

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Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means (2014, background): “a)+f(b)+4f a+b 2 − 1 b−a Z a f(x)dx ≤ (s−4)6 s+1 +2×5 +2 −2×3s+2 +2 6s+2(s +1)(s +2) (b− a) |f′(a)| +|f′(b)| , where 1 p + q = 1. Some inequalities of Hermite-Hadamard type were also obtained in [1, 2, 3, 10, 11, 13, 14, 15, 16, 17, 18] and related references therein. In this paper, we will introd”
Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications (2013, background): “For more information on this topic, please refer to [1, 8, 9, 10, 11, 12] and plenty of references cited therein.”