Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions

Authors

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

2 Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

10.1016/j.joems.2015.05.009

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

Journal of the Egyptian Mathematical Society
Volume 24, Issue 2
2016
Pages 175-180

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