用差分代换方法估算最佳值及其他  

Construction of Sampling Theorem with High Convergence Order

作　　者：刘保乾 

机构地区：[1]西藏自治区组织编制信息管理中心,西藏拉萨850000

出　　处：《汕头大学学报（自然科学版）》2011年第1期27-34,共8页Journal of Shantou University：Natural Science Edition

摘　　要：如果一个多项式差分代换集中各个代换式的系数均是非负的,则这个多项式必然是正半定的,利用这个定理提出了一种估算最佳值的思路和方法;给出了对称多项式用k次方幂和表示的通用程序fmhbs,并以fmhbs程序为基础,介绍了发现n元k次方幂和不等式的思路和方法;对多项式的平方型分拆进行了探讨.A polynomial is semi-definite when the cofficients of a differential substitution of the polynomial are negative.Based on this,a new algorithm is proposed to estimate optimum valuse,and a general program called fmhbs is constucted by representing symmetric polynomials with sum of powers.Based on fmhbs,a proposal is presented to find polynomials of sum of n terms of power-k,and the decomposition of polynomials is also studied.

关 键 词：差分代换 k次方幂和 生成运算 机器证明 

分 类 号：O122.3[理学—数学]