Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions This article was withdraw by the arthors.

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Published: Mar 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1261
Keywords:
Hermite-Hadamard integral inequality convex function $r$-$\varphi$-preinvex function $\varphi$-preinvex function inequality

Main Article Content

Wei-Dong Jiang
Da-Wei Niu
Feng Qi

Abstract

This article was withdraw by the arthors.


 

Article Details

How to Cite
Jiang, W.-D., Niu, D.-W., & Qi, F. (2014). Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions: This article was withdraw by the arthors. Tamkang Journal of Mathematics, 45(1), 31–38. https://doi.org/10.5556/j.tkjm.45.2014.1261
Issue
Vol. 45 No. 1 (2014)
Section
Papers
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Author Biographies

Wei-Dong Jiang

Department of Information Engineering, Weihai Vocational University, Weihai City, Shandong Province, 264210, China.

Da-Wei Niu

College of Information and Business, Zhongyuan University of Technology, Zhengzhou City, Henan Province,450007, China.

Feng Qi

Department ofMathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300387, China