Affiliation:
1. College of Nursing, Huzhou Teachers College, Huzhou 313000, China
2. School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China
Abstract
For any α∈0,1, we answer the questions: what are the greatest values p and λ and the least values q and μ, such that the inequalities Lpa,b<Iαa,bL1-αa,b<Lqa,b and Lλa,b<αIa,b+1-αLa,b<Lμa,b hold for all a,b>0 with a≠b? Here, Ia,b, La,b, and Lpa,b denote the identric, logarithmic, and pth Lehmer means of two positive numbers a and b, respectively.
Funder
National Natural Science Foundation of China
Subject
General Materials Science