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Journal of Applied Mathematics
Volume 2014, Article ID 386806, 6 pages
http://dx.doi.org/10.1155/2014/386806
Research Article

Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions

1School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, China
2Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, China

Received 21 June 2014; Accepted 23 July 2014; Published 6 August 2014

Academic Editor: Yu-Ming Chu

Copyright © 2014 Feixiang Chen and Shanhe Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Feixiang Chen, “Extensions of the Hermite–Hadamard inequality for harmonically convex functions via fractional integrals,” Applied Mathematics and Computation, vol. 268, pp. 121–128, 2015. View at Publisher · View at Google Scholar
  • Mehmet Kunt, İmdat İşcan, Nazlı Yazıcı, and Uğur Gözütok, “On new inequalities of Hermite–Hadamard–Fejer type for harmonically convex functions via fractional integrals,” SpringerPlus, vol. 5, no. 1, 2016. View at Publisher · View at Google Scholar
  • Yi-Chao Zhang, Ting-Song Du, and Jiao Pan, “On new inequalities of Fejér-Hermite-Hadamard type for differentiable (α,m)-preinvex mappings,” ScienceAsia, vol. 43, no. 4, pp. 258–266, 2017. View at Publisher · View at Google Scholar
  • G. Abbas, and G. Farid, “Hadamard and Fejér–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals,” The Journal of Analysis, 2017. View at Publisher · View at Google Scholar
  • Mehmet Kunt, and İmdat İşcan, “Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals,” Iranian Journal of Science and Technology, Transactions A: Science, 2017. View at Publisher · View at Google Scholar