Optimal Bounds for the Neuman-Sándor Mean in terms of the Convex Combination of the First and Second Seiffert Means

We find the least value α and the greatest value β such that the double inequality αP(a,b)+(1-α)T(a,b)<M(a,b)<βP(a,b)+(1-β)T(a,b) holds for all a,b>0 with a≠b, where M(a,b), P(a,b), and T(a,b) are the Neuman-Sándor mean and the first and second Seiffert means of two positive numbers a and b...

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Bibliographic Details
Main Authors: Hao-Chuan Cui, Nan Wang, Bo-Yong Long
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/489490