Inequalities for log-convex functions via three times differentiability

Year 2017, Volume: 13 Issue: 2, 353 - 358, 30.06.2017

Merve Avcı Ardıç Emin Özdemir

https://doi.org/10.18466/cbayarfbe.319873

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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