Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings

Abstract

In this paper, a general identity involving a di¤erentiable mapping is established. By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established. It is expected that the results established in this paper contain previously established results asspecial cases.

Keywords

• Hermite-Hadamard’s inequality,convex function,harmonic convex function

References

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