Optimal power mean bounds for the second Yang mean

Optimal power mean bounds for the second Yang mean

Abstract In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [ ( a r + b r ) / 2...

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Bibliographic Details
Main Authors: Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
power mean
second Yang mean
arithmetic mean
quadratic mean
geometric mean
Lehmer mean
Online Access:http://link.springer.com/article/10.1186/s13660-016-0970-y

Internet

http://link.springer.com/article/10.1186/s13660-016-0970-y

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