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Christoffel Functions and Orthogonal Polynomials for Exponential Weights on (Record no. 69467)

MARC details
000 -LEADER
fixed length control field 05329nam a22004933i 4500
001 - CONTROL NUMBER
control field EBC3113936
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124555.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s1994 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470401146
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821825990
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113936
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113936
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10918889
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)891396578
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA404.5 -- .L485 1994eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.55
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Levin, A.L.
245 10 - TITLE STATEMENT
Title Christoffel Functions and Orthogonal Polynomials for Exponential Weights on
-- -1, 1]
--
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 1994.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1994.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (166 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.111
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Table of Contents -- 1. Introduction and Results -- Definition 1.1: The class W -- Theorem 1.2: Christoffel Functions -- Corollary 1.3: Sup-Norms of Christoffel Functions -- Corollary 1.4: Zeros -- Corollary 1.5: Bounds on Orthonormal Polynomials -- Theorem 1.6: Sup-Norm Christoffel Functions -- Theorem 1.7: Restricted Range Inequalities -- Theorem 1.8: L[sub(p)] Norms of Orthonormal Polynomials -- 2. Some Ideas Behind the Proofs -- I. An Orthogonal Polynomial Angle -- II. The Potential Theory Side: Lower Bounds for λ[sub(n)] -- III. The Potential Theory Side: Upper Bounds for λ[sub(n)] -- IV. The Orthogonal Polynomials Angle: An(x) -- 3. Technical Estimates -- Lemma 3.1: Estimates involving Q -- Lemma 3.2: Estimates involving α[sub(u)] -- Lemma 3.3: More estimates involving α[sub(u)] -- Lemma 3.4: Estimates for Δ[sub(n)](s,t) -- Lemma 3.5: Differences involving Δ[sub(n)](s,t) -- 4. Estimates for the Density Functions μ[sub(n)] -- Lemma 4.1: Old estimates for μ[sub(n)] -- Theorem 4.2: Estimates for μ[sub(n)] on all of („1,1) -- Theorem 4.3: Differences involving μ[sub(n)] -- Proof of Theorem 4.2 -- Proof of Theorem 4.3 (b) -- Proof of Theorem 4.3 (a) -- 5. Majorization Functions and Integral Equations -- Lemma 5.1: Old Potential Theory/Integral Equations -- Lemma 5.2: Estimates for B[sub(n,R)],v[sub(n,R)] -- Theorem 5.3: Estimates for U[sub(n,R)] -- 6. The Proof of Theorem 1.7 -- Lemma 6.1: L[sub(p)] Bounds for Weighted Polynomials -- Proof of Theorem 1.7 -- 7. Lower Bounds for λ[sub(n)] -- Theorem 7.1: Lower Bounds for μ[sub(n)] -- Lemma 7.2: Preliminary Lower Bounds -- Proof of Theorem 7.1 -- 8. Discretisation of a Potential: Theorem 1.6 -- Theorem 8.1: One Point Polynomials -- Deduction of Theorem 1.6 -- Theorem 8.2: The Bounds for Γ[sub(n)] -- Deduction of Theorem 8.1 -- Lemma 8.3: Estimates for the discretisation points.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Lemma 8.4: Estimates for S[sub(1)]+[sub(4)] -- Lemma 8.5: Estimates for μ[sub(j)] -- Lemma 8.6: Estimates for τ[sub(j)] -- Lemma 8.7: Estimates for S[sub(21)] -- Lemma 8.8: Lower Bounds for S[sub(2)] -- Lemma 8.9: Upper Bounds for S[sub(2)] -- Lemma 8.10: Bounds for S[sub(3)] -- Proof of Theorem 8.2 -- 9. Upper Bounds for λ[sub(n)]: Theorems 1.2 and Corollary 1.3 -- Lemma 9.1: Preliminary Upper Bounds for μ[sub(n)] -- Proof of Theorem 1.2 -- Proof of Corollary 1.3 -- 10. Zeros: Corollary 1.4 -- Proof of Corollary 1.4 (i) -- Lemma 10.1: Series Equivalent to wω[sup(…2)] -- Proof of a Weaker Form of Corollary 1.4 (ii) -- 11. Bounds on Orthogonal Polynomials: Corollary 1.5 -- Lemma 11.1: An Identity for P'[sub(n)](x[sub(jn)]) -- Lemma 11.2: A Bound for I[sub(1)] -- Lemma 11.3: An Integral Estimate -- Lemma 11.4: An Estimate for I[sub(2)] -- Lemma 11.5: An Estimate for I[sub(3)] -- Theorem 11.6: Implicit Bounds for A[sub(n)] -- Proof of the Upper Bounds for Orthogonal Polynomials -- Lemma 11.7: A Further Integral Estimate -- Theorem 11.8: Good Estimates for A[sub(n)] -- Proof of Corollary 1.5 (iii) -- Lemma 11.9: A Markov-Bernstein Inequality -- Proof of the Lower Bounds for Orthogonal Polynomials -- 12. L[sub(p)] Norms of Orthonormal Polynomials: Theorem 1.8 -- Upper Bounds for L[sub(p)] Norms of Orthonormal Polynomials -- Lemma 12.2: Fundamental Polynomials of Interpolation -- Lower Bounds for L[sub(p)] Norms of Orthonormal Polynomials -- Proof of Corollary 1.4 (ii) -- References.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Orthogonal polynomials.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Christoffel-Darboux formula.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Convergence.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lubinsky, D.S.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Levin, A.L.
Title Christoffel Functions and Orthogonal Polynomials for Exponential Weights on
-- -1, 1]
Place, publisher, and date of publication Providence : American Mathematical Society,c1994
International Standard Book Number 9780821825990
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113936">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113936</a>
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