期刊论文

Chu, Yu-Ming

英文

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS

1452-8630

2020

14

1

255-271

10.2298/AADM190924020W

Acknowledgements. The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions. The research was supported by the Natural Science Foundation of China (Grant Nos. 11701176, 11971142, 61673169) and the Natural Science Foundation of Zhejiang Province (Grant No. LY19A010012).

本校为通讯机构

In the article, we prove that the function x -> (1-x)K-P(root x) is logarithmically concave on (0, 1) if and only if p >= 7/32, the function x -> K(root x)/ log(1 + 4/root 1 - x) is convex on (0, 1) and the function x -> d(2)/dx(2) [K(root x) - log (1+ 4/root 1 - x)] is absolutely monotonic on (0,1), where K(x) = integral(pi/2)(0) (1 - x(2) sin(2) t)(-1/2) dt ( 0 < x < 1) is...