数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2007年
1期
68-74
,共7页
Hardy-Hilbert's type inequality%Hardy-Littlewood's inequality%H(o)lder's inequality%beta function
In this paper, it is shown that Hardy-Hilbert's integral inequality with parameter is improved by means of a sharpening of H(o)lder's inequality. A new inequality is established as follows:∫∞α∫∞αf(x)g(y)/(x+y+2β) dxdywhere R = (Sp (F, h) - Sq (G, h))2, m = min {1/p, 1/q}. As application; an extension of Hardy-Littlewood's inequality is given.
