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To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno- mials of function-valued Pade-type approximation is introduced. On the basis of the error formula, the least-squares function: valued Pad&type approximation is constructed. Their existence and uniqueness are studied. A recursive computation formula of the least-squares function-valued Padetype approximation is given. In the end, an example is given to show that the method is effective and stable.  相似文献   
2.
退化的广义逆函数值Padé逼近   总被引:1,自引:0,他引:1  
A new generalized inverse function-valued Padé approximation (GIFPA) was defined. Existence condition of GIFPA was given and its uniqueness theorem was proved. All possible degeneracy cases of GIFPA were discussed and constructed. An example was given to illustrate its application.  相似文献   
3.
解答有误     
《初中生数学学习》编辑同志: 贵刊1999年9月刊登了第十届“希望杯”数学邀请赛(初二年级第2试)试题及竞赛组委会提供的参考解答.其中第21题的解答有误. 题目求正整数(a,b),同时满足条件:  相似文献   
4.
1 Introduction Thispaperisprimarilyconcenredwiththeanalysisofthedegeneracycaseswhichmayoccurinthepro cessofconstructinggeneralizedinversefunction val uedPad啨approximants . Letf(s,λ)beagivenpowerserieswithfunctionalcoefficients,i.e .,f(s,λ) =c0 (s) +c1(s)λ +c2 (s)λ2 +… +  cn(s)λn+… , (1)wherecj(s)isanalytic ,andf(s ,λ)isalsoanalyticatλ =0 .Thenon degeneratefunction valuedPad啨approximantwasintroducedbyGraves Morris[1] .Anintactdetermi…  相似文献   
5.
There are various applications of the stability theory of the first-order dynamical systems. And the stability of the non-linear control systems can be determined by its linear part. In practice, it is not enough to know the stability of the dynamical systems. Sometimes we must know the degree of stability of these systems. In this paper, we present some criteria for the degree of stability of the linear constant systems, by using the entries of the coefficient matrix A only.  相似文献   
6.
To solve the Fredholm integral equations of the second kind,a new notion of the least-squares orthogonal polyno-mials of function-valued Padé-type approximation is introduced.On the basis of the error formula,the least-squares function-valued Padé-type approximation is constructed.Their existence and uniqueness are studied.A recursive computation formula of the least-squares function-valued Padé-type approximation is given.In the end,an example is given to show that the method is effiective and stable.  相似文献   
7.
电视散文通过电视化的手段对散文进行艺术化的二度创作。它不仅保留了散文原有的艺术魅力 ,而且通过精美的画面 ,优美的音乐、自然的音响、情真意切的解说、演员恰当准确的形体语言等 ,极大地丰富和拓展了文字散文在传达意境方面的局限 ,产生了 1+1>2的艺术效果 ,使观众身临其境 ,更直观地得到高品位的浸润心灵的艺术享受。  相似文献   
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