On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals

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摘要

In this paper, a new general identity for fractional integrals have been defined. By using of this identity, new estimates on generalization of Hadamard, Ostrowski and Simpson like type inequalities for harmonically quasi-convex functions via the Riemann–Liouville fractional integral have been obtained.

论文关键词:Hermite–Hadamard inequality,Riemann–Liouville fractional integral,Ostrowski inequality,Simpson inequalityHarmonically quasi-convex function

论文评审过程:Received 30 March 2015, Revised 1 July 2015, Accepted 30 November 2015, Available online 22 December 2015, Version of Record 22 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.11.074