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Titlebook: Computational Methods and Function Theory; Proceedings of a Con Stephan Ruscheweyh,Edward B. Saff,Richard S. Varga Conference proceedings 1

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書目名稱Computational Methods and Function Theory
副標題Proceedings of a Con
編輯Stephan Ruscheweyh,Edward B. Saff,Richard S. Varga
視頻videohttp://file.papertrans.cn/233/232702/232702.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Computational Methods and Function Theory; Proceedings of a Con Stephan Ruscheweyh,Edward B. Saff,Richard S. Varga Conference proceedings 1
描述The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.
出版日期Conference proceedings 1990
關(guān)鍵詞Complex analysis; Maxima; calculus; differential equation; extrema; geometry; maximum; orthogonal polynomia
版次1
doihttps://doi.org/10.1007/BFb0087892
isbn_softcover978-3-540-52768-8
isbn_ebook978-3-540-47139-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1990
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0075-8434 performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.978-3-540-52768-8978-3-540-47139-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
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https://doi.org/10.1007/978-3-658-24970-0, we derive sharp estimates of this type and determine the corresponding extremal polynomials. These Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation problems on ellipses. We also present some new results for a weighted approximation problem of this type.
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On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses,, we derive sharp estimates of this type and determine the corresponding extremal polynomials. These Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation problems on ellipses. We also present some new results for a weighted approximation problem of this type.
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