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Journal of Function Spaces
Volume 2015, Article ID 452823, 5 pages
Research Article

Sharp Bounds for Toader Mean in terms of Arithmetic and Second Contraharmonic Means

1School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China
2School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China

Received 25 April 2015; Accepted 10 September 2015

Academic Editor: Lars E. Persson

Copyright © 2015 Wei-Mao Qian 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.


We present the best possible parameters and such that double inequalities , hold for all with , where , and are the arithmetic, second contraharmonic, and Toader means of and , respectively.