Title

A Best Possible Double Inequality for Power Mean.

Authors

Li, Yong-Min; Long, Bo-Yong; Chu, Yu-Ming

Abstract

We answer the question: for any p, q ∈ R with p≠q and p≠ - q, what are the greatest value ? = ?(p, q) and the least value µ = µ(p, q), such that the double inequality M?(a, b) p(a, b)Mq(a, b) 0 with a≠b? Where Mp(a, b) is the pth power mean of two positive numbers a and b.

Subjects

MATHEMATICAL inequalities; NUMBER theory; LEAST squares; INFINITE processes; MATHEMATICAL analysis; MATHEMATICS

Publication

Journal of Applied Mathematics, 2012, p1

ISSN

1110-757X

Publication type

Academic Journal

DOI

10.1155/2012/379785