Abstract and Applied Analysis

New Hermite-Hadamard Type Inequalities for n -Times Differentiable and s -Logarithmically Preinvex Functions

Shuhong Wang and Ximin Liu

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Abstract

The concept of s-logarithmically preinvex function is introduced, and by creating an integral identity involving an n-times differentiable function, some new Hermite-Hadamard type inequalities for s-logarithmically preinvex functions are established.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 725987, 11 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277123

Digital Object Identifier
doi:10.1155/2014/725987

Mathematical Reviews number (MathSciNet)
MR3246355

Zentralblatt MATH identifier
07022958

Citation

Wang, Shuhong; Liu, Ximin. New Hermite-Hadamard Type Inequalities for $n$ -Times Differentiable and $s$ -Logarithmically Preinvex Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 725987, 11 pages. doi:10.1155/2014/725987. https://projecteuclid.org/euclid.aaa/1412277123


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