Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions

Volume 9, Issue 2, pp 705--716 http://dx.doi.org/10.22436/jnsa.009.02.32

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Authors

Feixiang Chen - Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Georges University, Wanzhou, 404100, P. R. China. Shanhe Wu - Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian, 364012, P. R. China.

Abstract

In this paper, we establish some new Hermite-Hadamard inequalities for s-convex functions via fractional integrals. Some Hermite-Hadamard type inequalities for products of two convex and s-convex functions via Riemann-Liouville integrals are also established.

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Keywords

• Hermite-Hadamard inequality
• s-convex function
• Riemann-Liouville fractional integrals

MSC

•  26D15
•  26A51

References

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