Li, Y., Du, T. (2016). Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions. test, 24(2), 175-180. doi: 10.1016/j.joems.2015.05.009
YuJiao Li; Ting TSong Du. "Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions". test, 24, 2, 2016, 175-180. doi: 10.1016/j.joems.2015.05.009
Li, Y., Du, T. (2016). 'Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions', test, 24(2), pp. 175-180. doi: 10.1016/j.joems.2015.05.009
Li, Y., Du, T. Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions. test, 2016; 24(2): 175-180. doi: 10.1016/j.joems.2015.05.009

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
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