Publications de l'Institut Mathématique, Nouvelle Série Vol. 99(113), pp. 237–242 (2016) 

A DOUBLE INEQUALITY FOR THE COMBINATION OF TOADER MEAN AND THE ARITHMETIC MEAN IN TERMS OF THE CONTRAHARMONIC MEANWeiDong Jiang, Feng QiCollege of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, China; Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China; Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, ChinaAbstract: We find the greatest value $\lambda$ and the least value $\mu$ such that the double inequality \begin{align*} C(\lambda a+(1\lambda)b,\lambda b+(1\lambda)a)&<\alpha A(a,b)+(1\alpha)T(a,b)
Keywords: bound; contraharmonic mean; arithmetic mean; Toader mean; complete elliptic integrals Classification (MSC2000): 26E60; 33E05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.
© 2016 Mathematical Institute of the Serbian Academy of Science and Arts
