About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 560586, 14 pages
http://dx.doi.org/10.1155/2012/560586
Research Article

On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions

1College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, Tongliao City 028043, China
2School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China

Received 12 May 2012; Accepted 19 May 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Tian-Yu Zhang et al. 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 [10 citations]

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

  • Shu-Ping Bai, Shu-Hong Wang, and Feng Qi, “Some Hermite-Hadamard type inequalities for n-time differentiable (alpha, m)-convex functions,” Journal Of Inequalities And Applications, 2012. View at Publisher · View at Google Scholar
  • Bo-Yan Xi, and Feng Qi, “Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means,” Journal of Function Spaces and Applications, vol. 2012, pp. 1–14, 2012. View at Publisher · View at Google Scholar
  • Ling Chun, and Feng Qi, “Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex,” Journal of Inequalities and Applications, vol. 2013, no. 1, pp. 451, 2013. View at Publisher · View at Google Scholar
  • İmdat İşcan, “New general integral inequalities for quasi-geometrically convex functions via fractional integrals,” Journal of Inequalities and Applications, vol. 2013, no. 1, pp. 491, 2013. View at Publisher · View at Google Scholar
  • Rui-Fang Bai, Bo-Yan Xi, and Feng Qi, “Hermite-Hadamard type inequalities for the m- and (alpha, m)-logarithmically convex functions,” Filomat, vol. 27, no. 1, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Muhamet Özdemir, Çetin Yildiz, and Mustafa Gürbüz, “A note on geometrically convex functions,” Journal of Inequalities and Applications, vol. 2014, no. 1, pp. 180, 2014. View at Publisher · View at Google Scholar
  • İmdat İşcan, “ On Some New Hermite-Hadamard Type Inequalities for s -Geometrically Convex Functions ,” International Journal of Mathematics and Mathematical Sciences, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Feixiang Chen, and Shanhe Wu, “ Some Hermite-Hadamard Type Inequalities for Harmonically s -Convex Functions ,” The Scientific World Journal, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Tian-Yu Zhang, Mevlüt Tunç, Ai-Ping Ji, and Bo-Yan Xi, “Erratum to “On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions”,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014. View at Publisher · View at Google Scholar
  • Banyat Sroysang, “Generalizations on Some Hermite-Hadamard Type Inequalities for Differentiable Convex Functions with Applications to Weighted Means,” The Scientific World Journal, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar