| A CONVERGENCE THEOREM ON THE MULTIVARIATE INTERPOLATING RATIONAL FUNCTIONS |
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| 作者姓名： | 宋宝瑞 |
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| 作者单位： | SONG Bao rui (宋宝瑞) (Dept. of Applied Math.，Shanghai Jiaotong Univ.，Shanghai 200030，China) |
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| 摘 要： | １ ＴｈｅＵｎｉｖａｒｉａｔｅＣｏｎｖｅｒｇｅｎｃｅＴｈｅｏｒｅｍｏｎＲａｔｉｏｎａｌＩｎｔｅｒｐｏ－ｌａｔｉｏｎＡｒａｔｉｏｎａｌｆｕｎｃｔｉｏｎｒｎｍ（ｚ）ｉｓｓａｉｄｔｏｈａｖｅｔｙｐｅ（ｎ／ｍ）ｉｆｉｔｈａｓｔｈｅｆｏｒｍｒｎｍ（ｚ）＝ｐｎ（ｚ）／ｑｍ（ｚ），ｑｍ（ｚ）０ｗｈｅｒｅｐｎ（ｚ）ｉｓａｐｏｌｙｎｏｍｉａｌｏｆｄｅｇｒｅｅａｔｍｏｓｔｎａｎｄｑｍ（ｚ）ｉｓａｐｏｌｙｎｏｍｉａｌｏｆｄｅｇｒｅｅａｔｍｏｓｔｍ．Ｃｏｎｃｅｒｎｉｎｇｔｈｅｃｏｎｖｅｒｇｅｎｃｅｏｆｔｈｅ（ｎ／ｍ）…
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A CONVERGENCE THEOREM ON THE MULTIVARIATE INTERPOLATING RATIONAL FUNCTIONS |
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| SONG Bao,rui.A CONVERGENCE THEOREM ON THE MULTIVARIATE INTERPOLATING RATIONAL FUNCTIONS[J].Journal of Shanghai Jiaotong university,1999(2). |
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| Authors: | SONG Bao rui |
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| Abstract: | This paper investigated the convergence of the columns (with fixed denominator degrees) of the multivariate rational interpolations to a meromorphic function. A simple convergence criterion and the rate of convergence were given. The criterion is a nature extension of the theorem of Saff for the convergence of columns of univariate rational interpolations. |
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| Keywords: | rational interpolation convergence multivariate meromorphic functions |
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