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Adv. Inequal. Appl. 2017 (2017), Article ID 7

Two Schur-convex functions related to the generalized integral quasiarithmetic means

Shun-Yi Jiang, Dongsheng Wang, Huan-Nan Shi

Abstract

The Schur-convexity of two functions which related to the generalized integral quasiarithmetic means are researched, and two new inequalities are established. As applications, some refinements of Hadamard-type inequalities for convex functions and log-convex function are obtained.

Published
16 February 2017
Volume
2017 (2017)
License
CC BY 3.0

Copyright © 2017 Shun-Yi Jiang, Dongsheng Wang, Huan-Nan Shi. 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.

Cite this article

S.-Y. Jiang, D. Wang, H.-N. Shi, Two Schur-convex functions related to the generalized integral quasiarithmetic means, Adv. Inequal. Appl. 2017 (2017), 7.

BibTeX
@article{Jiang2017,
  author  = {Jiang, Shun-Yi and Wang, Dongsheng and Shi, Huan-Nan},
  title   = {Two Schur-convex functions related to the generalized integral quasiarithmetic means},
  journal = {Adv. Inequal. Appl.},
  volume  = {2017},
  year    = {2017},
  pages   = {7},
  doi     = {}
}