Sharp power mean bounds for Seiffert mean  

作　　者：LI Yong-min WANG Miao-kun CHU Yu-ming 

机构地区：[1]School of Mathematics and Computation Science,Hunan City University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2014年第1期101-107,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(61174076,61374086,11171307);the Natural Science Foundation of Zhejiang Province(LY13A010004)

摘　　要：In this paper, we find the greatest value p = log 2/（log Tr - 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 Seiffertmeans of two positive numbers a and b, respectively.In this paper, we find the greatest value p = log 2/（log Tr - 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 Seiffertmeans of two positive numbers a and b, respectively.

关 键 词：power mean Seiffert mean INEQUALITY 

分 类 号：O178[理学—数学]