期刊论文

Yang, Zhen-Hang

英文

JOURNAL OF MATHEMATICAL INEQUALITIES

1846-579X

2016

10

2

423-432

10.7153/jmi-10-33

Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371125, 61174076, 61374086, 11171307]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]; Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [14JJ2127]

本校为第一且通讯机构

We present the best possible parameters p, q is an element of(0,1] such that the double inequality (1)(3p2) cos(px) + 1 (1)(3p2) < (sin(x))(x) < (1)(3q2) cos(qx) + 1 (1)(3q2) holds for all x is an element of(0, pi/2). As applications, some new inequalities for the sine integral, Catalan const...