Hermite--Hadamard type integral inequalities via (s,m)--P--convexity on co-ordinates

Volume 9, Issue 3, pp 876--884 http://dx.doi.org/10.22436/jnsa.009.03.17

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Authors

Ying Wu - College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China. Feng Qi - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China. Zhi-Li Pei - College of Computer Science and Technology, Inner Mongolia University for Nationalities, Tongliao City, 028043, Inner Mongolia Autonomous Region, China. Shu-Ping Bai - College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China.

Abstract

In this paper, the notion of (s;m)-P-convex functions on the co-ordinates is introduced and several integral inequalities of the Hermite-Hadamard type for co-ordinated (s;m)-P-convex functions are established.

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Keywords

• Co-ordinates
• (s،m)-P-convex function
• Hermite-Hadamard's integral inequality
• integral identity.

MSC

•  26A51
•  26D15

References

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