| EPSILON-ALGORITHM AND ETA-ALGORITHM OF GENERALIZED INVERSE FUNCTION-VALUED PAD APPROXIMANTS USING FOR SOLUTION OF INTEGRAL EQUATIONS |
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| 引用本文： | 李春景,顾传青.EPSILON-ALGORITHM AND ETA-ALGORITHM OF GENERALIZED INVERSE FUNCTION-VALUED PAD APPROXIMANTS USING FOR SOLUTION OF INTEGRAL EQUATIONS[J].应用数学和力学(英文版),2003(2). |
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| 作者姓名： | 李春景 顾传青 |
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| 作者单位： | DepartmentofMathematics，DepartmentofMathematics ShanghaiUniversity，Shanghai200436，P.R.China，DepartmentofMathematics，TongjiUniversity，Shanghai200331，P.R.China，ShanghaiUniversity，Shanghai200436，P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 2 71 0 74) |
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| 摘 要： | IntroductionLetf(x ,λ)beagivenpowerserieswithfunction_valuedcoefficients,i.e.,f(x ,λ) =c0 (x) +c1(x)λ+c2 (x)λ2 +… +cn(x)λn+… ,( 1 )wherecj(x)isarealorcomplexfunctionwithregardasxwhichisdefinedon (a ,b) .Supposethatf(x,λ)isanalyticasafunctionofλattheoriginλ=0 .ItisknownthatPad啨ａｐｐｒｏｘｉｍａｎｔｍｅｔｈｏｄｓａｒｅｕｓｅｄｆｏｒｏｂｔａｉｎｉｎｇｔｈｅｓｏｌｕｔｉｏｎｏｆａｗｋｗａｒｄｉｎｔｅｇｒａｌｅｑｕａｔｉｏｎｓ,andespeciallythosewhichpossessageneratingfunctionoftheform ( …
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| 关 键 词： | generalized inverse function_valued Padé approximant epsilon_algorithm eta_algorithm integral equations |
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