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Titlebook: Orthogonal Polynomials for Exponential Weights; Eli Levin,Doron S. Lubinsky Textbook 2001 Springer-Verlag New York, Inc. 2001 Smooth funct

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發(fā)表于 2025-3-21 18:38:41 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Orthogonal Polynomials for Exponential Weights
編輯Eli Levin,Doron S. Lubinsky
視頻videohttp://file.papertrans.cn/705/704711/704711.mp4
叢書名稱CMS Books in Mathematics
圖書封面Titlebook: Orthogonal Polynomials for Exponential Weights;  Eli Levin,Doron S. Lubinsky Textbook 2001 Springer-Verlag New York, Inc. 2001 Smooth funct
描述The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the future..In this monograph, the authors investigate orthogonal polynomials for exponential weights defined on a finite or infinite interval. The interval should contain 0, but need not be symmetric about 0; likewise the weight need not be even. The authors establish bounds and asymptotics for orthonormal and extremal polynomials, and their associated Christoffel functions. They deduce bounds on zeros of extremal and orthogonal polynomials, and also establish Markov- Bernstein and Nikolskii inequalities..The authors have collaborated actively since 1982 on various topics, and have published many joint papers, as well as a Memoir of the American Mathematical Society. The latter deals with a special case of the weights treated in this book. In many ways, this book is the culmination of 18 years of joint work on orthogonal polynomials, drawing inspiration from the works of many researchers in the very active field of orthogonal polynomials.
出版日期Textbook 2001
關(guān)鍵詞Smooth function; approximation theory; extrema; orthogonal polynomials; potential theory; combinatorics
版次1
doihttps://doi.org/10.1007/978-1-4613-0201-8
isbn_softcover978-1-4612-6563-4
isbn_ebook978-1-4613-0201-8Series ISSN 1613-5237 Series E-ISSN 2197-4152
issn_series 1613-5237
copyrightSpringer-Verlag New York, Inc. 2001
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沙發(fā)
發(fā)表于 2025-3-21 20:27:23 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:27:59 | 只看該作者
1613-5237 undoubtedly will continue to grow in importance in the future..In this monograph, the authors investigate orthogonal polynomials for exponential weights defined on a finite or infinite interval. The interval should contain 0, but need not be symmetric about 0; likewise the weight need not be even.
地板
發(fā)表于 2025-3-22 04:59:25 | 只看該作者
5#
發(fā)表于 2025-3-22 09:32:30 | 只看該作者
Asymptotics of Extremal Errors,r result in compact form, we need some notation. For a non-negative . : [?1,1] → ?, let.denote the . of .. Recall also that.where .. is the linear map of [.., a.] onto [?1,1] and .. is its inverse. Finally, let
6#
發(fā)表于 2025-3-22 14:51:32 | 只看該作者
Further Bounds and Applications,of Lagrange interpolation, and spacing of zeros of orthogonal polynomials. We shall often need more than .∈.(.1/2). Recall from Chapter 1 that we defined .∈.(.1/2+) if both .∈.(.1/2) and for each .>1, there exists .>0 and .. such that
7#
發(fā)表于 2025-3-22 17:55:04 | 只看該作者
8#
發(fā)表于 2025-3-22 23:02:11 | 只看該作者
Eli Levin,Doron S. Lubinskychisch . denken. Doch hei?t dieses Verb ursprünglich nicht .sagen. im Sinne von ?.sagen, die Zukunft voraussagen“, es ist, was überraschen mag, überhaupt erst in nachchristlicher Zeit gelegentlich belegt., gibt also für die Erkl?rung von . direkt nichts her. Die Pr?position . bedeutet in alten Verbi
9#
發(fā)表于 2025-3-23 02:38:57 | 只看該作者
Textbook 2001 case of the weights treated in this book. In many ways, this book is the culmination of 18 years of joint work on orthogonal polynomials, drawing inspiration from the works of many researchers in the very active field of orthogonal polynomials.
10#
發(fā)表于 2025-3-23 07:33:05 | 只看該作者
1613-5237 a special case of the weights treated in this book. In many ways, this book is the culmination of 18 years of joint work on orthogonal polynomials, drawing inspiration from the works of many researchers in the very active field of orthogonal polynomials.978-1-4612-6563-4978-1-4613-0201-8Series ISSN 1613-5237 Series E-ISSN 2197-4152
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