Some Results on Hermite-Hadamard Type Inequality through Convexity

Shahid Qaisar¹ and Sabir Hussain^1,

¹College of Mathematics and Statistics, Chongqing University, Chongqing, P. R. China

Cite this paper:
Shahid Qaisar and Sabir Hussain. Some Results on Hermite-Hadamard Type Inequality through Convexity. Turkish Journal of Analysis and Number Theory. 2014; 2(2):53-59. doi: 10.12691/tjant-2-2-5

Abstract

Our aim in this article to establish various inequalities for some differentiable mapping that are connected with illustrious Hermite-Hadamard integral inequality for mapping whose absolute values of derivatives are convex. The new integral inequalities are then applied to some special means and as well as numerical integration to obtain some better estimates.

Keywords:
Hermite-Hadamard type inequality convex functions special means Hölder’s integral inequality power-mean inequality Quadrature formula

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