This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming ( GP ) briefly. 系统地讨论了代数多项式的算术-几何均值定理,并对原型几何规划理论作出了简明的推导与分析。
Some analytic inequalities are established by using of the theory of majorization. The Ky Fan inequality and the arithmetic and geometric mean inequality are also refined. 利用优超理论建立了若干解析不等式,并对KYFAN不等式、算术&几何平均不等式进行了推广。
Two mixed arithmetic and geometric mean inequalities containing parameters are presented and the applications of these inequalities in nonlinear programming problems are proposed. 提出两个含参数的混合算术-几何平均值不等式并指出它们在非线性规划问题中的应用。
Results ( 1 ) Based on the classification of industry, the average dust concentration in the workplace air of coal industry and township enterprises was the highest both at arithmetic and geometric mean. 结果(1)按行业分析,粉尘算术平均浓度和几何平均浓度最高的分别是煤炭行业和乡镇企业。
Novel similarity measure based on arithmetic - geometric mean distance for multimodal image registration 基于算术-几何均值距离的多模态图像配准