SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS

Wenjun Liu; Hefeng Zhuang

doi:10.11948/2017031

2017 Volume 7 Issue 2

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Wenjun Liu, Hefeng Zhuang. SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 501-522. doi: 10.11948/2017031

Citation:

Wenjun Liu, Hefeng Zhuang. SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 501-522. doi: 10.11948/2017031

SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS

College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

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Abstract

Abstract

In this study, based on a new quantum integral identity, we establish some quantum estimates of Hermite-Hadamard type inequalities for convex functions. These results generalize and improve some known results given in literatures.
- Convex functions /
- Hermite-Hadamard inequality /
- Hölder integral inequality /
- Quantum estimate
MSC: 34A08;26D10;26D15

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References

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