Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means

Abstract In this paper, we find the least value α and the greatest value β such that the double inequality P α ( a , b ) T 1 − α ( a , b ) < M ( a , b ) < P β ( a , b ) T 1 − β ( a , b ) $$P^{\alpha}(a,b)T^{1-\alpha}(a,b)< M(a,b)< P^{\beta}(a,b)T^{1-\beta}(a,b) $$ holds for all a , b >...

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Bibliographic Details
Main Authors: Hua-Ying Huang, Nan Wang, Bo-Yong Long
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-015-0955-2