Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (a,m)-preinvex functions | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 2, 2015, Page 236-241 PDF (481.49 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.06.006 | ||||
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Authors | ||||
Muhammad Amer Latif* 1; Muhammad Shoaib2 | ||||
1School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050 Johannesburg, South Africa | ||||
2Faculty of Sciences, Department of Mathematics, University of Hail, PO BOX 2440, Saudi Arabia | ||||
Abstract | ||||
In this paper, the notion of m-preinvex and ða; mÞ-preinvex functions is introduced and then several inequalities of Hermite–Hadamard type for differentiable m-preinvex and ða; mÞ-preinvex functions are established. | ||||
Keywords | ||||
Hermite–Hadamard’s inequality; Invex set; Preinvex function; m-preinvex function; ð Þ a; m -preinvex function; Ho¨lder’s integral inequality | ||||
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