Author(s)

Yixuan Sun, Hongping Yin

College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China.

The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s-convex function is introduced. Next a new identity is also established. Finally, by this identity and H?lder’s inequality, some new Simpson type for the product of strongly extended s-convex function are obtained.

Simpson Type Inequality, Integral Identity, Strongly Extended s-Convex Function

Sun, Y. and Yin, H. (2016) Some Integral Inequalities of Simpson Type for Strongly Extended s-Convex Functions. Advances in Pure Mathematics, 6, 745-753. doi: 10.4236/apm.2016.611060.