MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (<i>α, m</i>)-PREINVEXITY

Sabir Hussain; Shahid Qaisar

doi:10.11948/2016023

2016 Volume 6 Issue 2

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Sabir Hussain, Shahid Qaisar. MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (α, m)-PREINVEXITY[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 293-305. doi: 10.11948/2016023

Citation:

Sabir Hussain, Shahid Qaisar. MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (α, m)-PREINVEXITY[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 293-305. doi: 10.11948/2016023

MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (α, m)-PREINVEXITY

Sabir Hussain¹,
Shahid Qaisar²

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

Abstract

We establish various inequalities for n-times differentiable mappings that are connected with illustrious Hermite-Hadamard integral inequality for mapping whose absolute values of derivatives are (α, m)-preinvex function. The new integral inequalities are then applied to some special means.
- Hermite-Hadamard type inequality /
- preinvex function /
- invex set /
- power-mean inequality /
- Holder's integral inequality /
- (α, m)-preinvex function
MSC: 26D07;26D10;26D99

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