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, Pages 175-180 PDF (344.95 K) | ||
DOI: 10.1016/j.joems.2015.05.009 | ||
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 | ||
Statistics Article View: 27 PDF Download: 28 |