Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 2, 2016, Page 175-180 PDF (344.95 K) | ||||
DOI: 10.1016/j.joems.2015.05.009 | ||||
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Authors | ||||
YuJiao Li1; Ting TSong Du1, 2 | ||||
1Department of Mathematics, Science College, China Three Gorges University, Yichang 443002, China | ||||
2Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China | ||||
Abstract | ||||
By using power-mean integral inequality and Hölder’s integral inequality, this paper establishes some new inequalities of Simpson type for functions whose three derivatives in absolute value are the class of ( α, m )-geometric-arithmetically-convex functions. Finally, some applications to special means of positive real numbers have also been presented. | ||||
Keywords | ||||
Convex function; ( α, m )-GA-convex functions; Simpson type inequality | ||||
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