摘要
研究陈计－王振型不等式［３］成立的条件及相关不等式的加细；对于算术平均－几何平均不等式加细时，插入一类新型的广义积分项，使已有结果为其特款．
In this paper, a sufficient condition (3) of which the inequality (2) holds is given, in opposite case the inequality is reversed. We insert some terms of improper integrals between the two sides of GMAM inequality, i. e., we establish the inequalities (10) and (11) which improve and generalize the corresponding results of [6, 7, 8]. The inequality (13) is an additional version (determinantal inequality) of (11); The inequality (14) is an application of (11) in a triangle.
关键词
平均值
不等式
加细
mean value, inequalities, refinement
