In this paper,we find the greatest value p = log2/(log π. log 2) = 1.53 ··· and the least value q = 5/3 = 1.66 ··· such that the double inequality Mp(a,b) < T(a,b) < Mq(a,b) holds for all a,b > 0 with a = b. Here,Mp(a,b) and T(a,b) are the p-th power and Seiffert means of two positive numbers a and b,respectively.
In this paper, we establish several inequalities for the the generalized linear distortion function λ(a,K) by using the monotonicity and convexity of certain combinations λ(a,K).
MA Xiao-yanQIU Song-liangZHONG Gen-hongCHU Yu-ming
The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηK(a,t),and obtain some inequalities for ηK(a,t) and relative distortion functions.
