期刊论文

Yang, Zhen-Hang;Chu, Yu-Ming;Song, Ying-Qing

英文

MATHEMATICAL INEQUALITIES & APPLICATIONS

1331-4343

2016

19

2

721-730

10.7153/mia-19-52

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371125, 11401191, 61374086]

本校为第一且通讯机构

In the article, we prove that the double inequality lambda root L(a,b)I(a,b) < TQ(a,b) < mu root L(a,b)I(a,b) holds for all a,b > 0 with a not equal b if and only if lambda = 1, and give an affirmative answer to the conjecture proposed by Yang in [39], where L(a,b) = (b-a)/(logb-loga), I(a,b) = (b(b)/a(a))(1/(b-a))/e and TQ(a,b) = 2/pi integral(pi/2)(0) a(cos2 theta)b(sin2 theta) d theta are respectively the logarithmic, identric an...