s-对数凸函数的Hermite-Hadamard型积分不等式

Abstract

Abstract:

In the paper, we introduce the notion "s-logarithmically convex function", establish some new integral inequalities of Hermite-Hadamard type for functions the power of the absolute of whose first derivative is s-logarithmically convex, and apply these newly obtained inequalities to means.

Key words: Integral inequality, Integral identity, Hermite-Hadamard's integral inequality, Convex function, s-Logarithmically convex function

CLC Number:

O178

Xi Boyan, Qi Feng. Some Integral Inequalities of Hermite-Hadamard Type for s-Logarithmically Convex Functions[J].Acta mathematica scientia,Series A, 2015, 35(3): 515-524.

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Some Integral Inequalities of Hermite-Hadamard Type for s-Logarithmically Convex Functions

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