RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS

RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
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解析函数的有理逼近

DOI:
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发表时间:
1994
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通讯作者:
V. A. Prokhorov
V. A. Prokhorov
中科院分区:
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文献类型:
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作者:
V. A. Prokhorov

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本文致力于与解析函数的有理逼近理论相关的结果。对一致度量中阶数最多为 n 的解析函数的最佳近似值 ρn 的下降率进行了分析,其中涉及到要近似的函数的属性,更准确地说,涉及到其奇点集的分布和结构以及其解析延拓的特征。参考书目:31 个标题。
This article is devoted to results relating to the theory of rational approximation of analytic functions. An analysis is made of the rate of decrease of the best approximations ρn of an analytic functions of order at most n in the uniform metric in terms connected with the properties of the function to be approximated, more precisely, connected with the distribution and structure of its set of singularities and with the character of its analytic continuation.Bibliography: 31 titles.