More results on Simpson's type inequality through convexity for twice differentiable continuous mappings

Sabir Hussain; Shahid Qaisar

doi:10.1186/s40064-016-1683-x

More results on Simpson's type inequality through convexity for twice differentiable continuous mappings

Springerplus. 2016 Jan 26:5:77. doi: 10.1186/s40064-016-1683-x. eCollection 2016.

Authors

Sabir Hussain¹, Shahid Qaisar²

Affiliations

¹ Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraydah, 51452 Saudi Arabia.
² Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan.

Abstract

Our aim in this article is to incorporate the notion of "strongly s-convex function" and prove a new integral identity. Some new inequalities of Simpson type for strongly s-convex function utilizing integral identity and Holder's inequality are considered.

Keywords: Holder’s integral inequality; Integral identity; Simpson’s inequality; Strongly s-convex function.