Optimal convex combination bounds of geometric and Neuman means for Toader-type mean

Abstract In this paper, we prove that the double inequalities α N Q A ( a , b ) + ( 1 − α ) G ( a , b ) < T D [ A ( a , b ) , G ( a , b ) ] < β N Q A ( a , b ) + ( 1 − β ) G ( a , b ) , λ N A Q ( a , b ) + ( 1 − λ ) G ( a , b ) < T D [ A ( a , b ) , G ( a , b ) ] < μ N A Q ( a , b ) + (...

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Bibliographic Details
Main Authors: Yue-Ying Yang, Wei-Mao Qian
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1473-1