Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means
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Authors
Hong-Hu Chu
- School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha 410114, China.
Wei-Mao Qian
- School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China.
Yu-Ming Chu
- School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China.
Ying-Qing Song
- School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China.
Abstract
In this paper, we present the best possible Toader mean bounds of arithmetic and quadratic means by
the one-parameter quadratic and contraharmonic means. As applications in engineering and technology, we
find new bounds for the complete elliptic integral of the second kind.
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ISRP Style
Hong-Hu Chu, Wei-Mao Qian, Yu-Ming Chu, Ying-Qing Song, Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3424--3432
AMA Style
Chu Hong-Hu, Qian Wei-Mao, Chu Yu-Ming, Song Ying-Qing, Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means. J. Nonlinear Sci. Appl. (2016); 9(5):3424--3432
Chicago/Turabian Style
Chu, Hong-Hu, Qian, Wei-Mao, Chu, Yu-Ming, Song, Ying-Qing. "Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3424--3432
Keywords
- Toader mean
- arithmetic mean
- quadratic mean
- contraharmonic mean
- complete elliptic integral.
MSC
References
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