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Research articles

ScienceAsia 43 (2017): 258-266 |doi: 10.2306/scienceasia1513-1874.2017.43.258

On new inequalities of Fejér-Hermite-Hadamard type for differentiable (α,m)-preinvex mappings

Yi-Chao Zhang, Ting-Song Du*, Jiao Pan

ABSTRACT:     The authors establish several new inequalities of the Fejér-Hermite-Hadamard type for mappings which have absolute values of the first derivatives which are (α,m)-preinvex. The results presented provide extensions of some known results. These new established inequalities are also applied to construct inequalities for special means.

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Department of Mathematics, College of Science, China Three Gorges University, Yichang, 443002, China

* Corresponding author, E-mail: tingsongdu@ctgu.edu.cn

Received 4 Jul 2017, Accepted 14 Sep 2017