The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means

The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means

For p∈ℝ, the power mean Mp(a,b) of order p, logarithmic mean L(a,b), and arithmetic mean A(a,b) of two positive real values a and b are defined by Mp(a,b)=((ap+bp)/2)1/p, for p≠0 and Mp(a,b)=ab, for p=0, L(a,b)=(b-a)/(log⁡b-log⁡a), for a≠b and L(a,b)=a, for a=b and A(a,b)=(a+b)/2, respectively. In t...

Full description

Saved in:
Bibliographic Details
Main Authors: Wei-Feng Xia, Yu-Ming Chu, Gen-Di Wang
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/604804
Tags: Add Tag
No Tags, Be the first to tag this record!

Similar Items

Similar Items