Title of article :
Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means
Author/Authors :
Chu ، Hong-Hu - Changsha University of Science Technology , Qian ، Wei-Mao - Huzhou Broadcast and TV University , Chu ، Yu-Ming - Hunan City University , Song ، Ying-Qing - Hunan City University
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.
Keywords :
Toader mean , arithmetic mean , quadratic mean , contraharmonic mean , complete elliptic integral
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
