Inequalities for log-convex functions via three times differentiability

Abstract

In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established. Some applications to quadrature formula for midpoint error estimate are given.

Keywords

• Convexity,log-convex functions,Hermite-Hadamard inequality,Hölder integral inequality,Power-mean integral inequality

References

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