Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means
Author(s) -
Hong-Hu Chu,
Wei-Mao Qian,
YuMing Chu,
Ying-Qing Song
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.126
Subject(s) - mathematics , type (biology) , quadratic equation , pure mathematics , geometry , biology , ecology
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. c ©2016 All rights reserved.
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