SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (<i>α, m; P</i>)-CONVEX FUNCTIONS ON CO-ORDINATES

Shu-Ping Bai; Feng Qi; Shu-Hong Wang

doi:10.11948/2016014

2016 Volume 6 Issue 1

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Shu-Ping Bai, Feng Qi, Shu-Hong Wang. SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (α, m; P)-CONVEX FUNCTIONS ON CO-ORDINATES[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 171-178. doi: 10.11948/2016014

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Shu-Ping Bai, Feng Qi, Shu-Hong Wang. SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (α, m; P)-CONVEX FUNCTIONS ON CO-ORDINATES[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 171-178. doi: 10.11948/2016014

SOME NEW INTEGRAL INEQUALITIES OF HERMITE{HADAMARD TYPE FOR (α, m; P)-CONVEX FUNCTIONS ON CO-ORDINATES

1 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China;
2 Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, 300387, China;
3 Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China

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Abstract

Abstract

In the paper, the authors introduce the notion "(α, m; P)-convex function on co-ordinates" and establish new integral inequalities of Hermite-Hadamard type for (α, m; P)-convex functions on co-ordinates in a rectangle from the plane R₀×R.
- (α, m /
- P)-convex function on co-ordinates /
- integral inequality of Hermite-Hadamard type
MSC: 26A51;26D15;26D20;26E60;41A55

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References

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