MARC details
| 000 -LEADER |
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| fixed length control field |
05485cam a2200853 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn298571390 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250703132928.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr ||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
090116s1988 gw ob 101 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
SPLNM |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
SPLNM |
| Modifying agency |
GW5XE |
| -- |
OCLCQ |
| -- |
OL$ |
| -- |
OCLCO |
| -- |
OCLCQ |
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GW5XE |
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OCLCE |
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OCLCF |
| -- |
OCLCQ |
| -- |
UAB |
| -- |
ESU |
| -- |
OCLCQ |
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U3W |
| -- |
OCLCQ |
| -- |
OCLCO |
| -- |
OCLCQ |
| -- |
OCLCO |
| -- |
OCLCL |
| -- |
S9M |
| -- |
OCLCA |
| 019 ## - |
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| -- |
624342739 |
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655026077 |
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682136198 |
| -- |
1001495851 |
| -- |
1038467369 |
| -- |
1039512148 |
| -- |
1409008916 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540388579 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540388575 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9780387189581 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
0387189580 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9783540189589 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3540189580 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
3540189550 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000057635120 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
NZ1 |
| System control number |
15299238 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)298571390 |
| Canceled/invalid control number |
(OCoLC)624342739 |
| -- |
(OCoLC)655026077 |
| -- |
(OCoLC)682136198 |
| -- |
(OCoLC)1001495851 |
| -- |
(OCoLC)1038467369 |
| -- |
(OCoLC)1039512148 |
| -- |
(OCoLC)1409008916 |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
dlr |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA3 |
| Item number |
.L28 no. 1305 |
| Classification number |
QA331 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.66 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
*41-02 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
41A25 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
41A50 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
42C05 |
| Number source |
msc |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
MAT 418f |
| Number source |
stub |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
MAT 428f |
| Number source |
stub |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
SI 850 |
| Number source |
rvk |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lubinsky, D. S. |
| Fuller form of name |
(Doron Shaul), |
| Dates associated with a name |
1955- |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJgxmQ8D3mRrTFRphQ6dwC |
| 9 (RLIN) |
77291 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Strong asymptotics for extremal polynomials associated with weights on IR / |
| Statement of responsibility, etc. |
D.S. Lubinsky, E.B. Staff. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Berlin ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
©1988. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (vii, 153 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 |
Lecture notes in mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume/sequential designation |
1305 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 146-150) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Introduction -- Notation and Index of Notation -- Statement of Main Results -- Weighted Polynomials and Zeros of Extremal Polynomials -- Integral Equations -- Polynomial Approximation of Potentials -- Infinite-Finite Range Inequalities and Their Sharpness -- The Largest Zeros of Extremal Polynomials -- Further Properties of Un, R(x) -- Nth Root Asymptotics for Extremal Polynomials -- Approximation by Certain Weighted Polynomials, I -- Approximation by Certain Weighted Polynomials, II -- Bernstein's Formula and Bernstein Extremal Polynomials -- Proof of the Asymptotics for Enp(W) -- Proof of the Asymptotics for the Lp Extremal Polynomials -- The Case p = 2: Orthonormal Polynomials -- References -- Subject Index. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Materials specified |
Use copy |
| Standardized terminology for access restriction |
Restrictions unspecified |
| Source of term |
star |
| Institution to which field applies |
MiAaHDL |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, f Lp () and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3 ..., such that if and only if f(x) = 0 for a.e.> 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials. |
| 533 ## - REPRODUCTION NOTE |
|---|
| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
[Place of publication not identified] : |
| Agency responsible for reproduction |
HathiTrust Digital Library, |
| Date of reproduction |
2010. |
| Institution to which field applies |
MiAaHDL |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Uniform Resource Identifier |
<a href="http://purl.oclc.org/DLF/benchrepro0212">http://purl.oclc.org/DLF/benchrepro0212</a> |
| Institution to which field applies |
MiAaHDL |
| 583 1# - ACTION NOTE |
|---|
| Action |
digitized |
| Time/date of action |
2010 |
| Jurisdiction |
HathiTrust Digital Library |
| Status |
committed to preserve |
| Source of term |
pda |
| Institution to which field applies |
MiAaHDL |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Extremal problems (Mathematics) |
| 9 (RLIN) |
77292 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Orthogonal polynomials. |
| 9 (RLIN) |
69742 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Asymptotic expansions. |
| 9 (RLIN) |
5363 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Problèmes extrémaux (Mathématiques) |
| 9 (RLIN) |
77293 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polynômes orthogonaux. |
| 9 (RLIN) |
71166 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Développements asymptotiques. |
| 9 (RLIN) |
11227 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Polinomios ortogonales |
| Source of heading or term |
embne |
| 9 (RLIN) |
973665 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Desarrollos asintóticos |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973535 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Asymptotic expansions |
| Source of heading or term |
fast |
| 9 (RLIN) |
5363 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Extremal problems (Mathematics) |
| Source of heading or term |
fast |
| 9 (RLIN) |
77292 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Orthogonal polynomials |
| Source of heading or term |
fast |
| 9 (RLIN) |
69742 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Extremalpolynom |
| Source of heading or term |
gnd |
| 9 (RLIN) |
77294 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Asymptotik |
| Source of heading or term |
gnd |
| 9 (RLIN) |
11948 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Gewicht |
| Miscellaneous information |
Mathematik |
| Source of heading or term |
gnd |
| 9 (RLIN) |
276995 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Gewichtete Polynomapproximation |
| Source of heading or term |
gnd |
| 9 (RLIN) |
77296 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Orthogonale Polynome |
| Source of heading or term |
gnd |
| 9 (RLIN) |
72044 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Gewicht (Mathematik) |
| Source of heading or term |
swd |
| 9 (RLIN) |
77295 |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Gewichtete polynomiale Approximation. |
| 9 (RLIN) |
973976 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Saff, E. B., |
| Dates associated with a name |
1944- |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJdCtfDyRfkGRDrHXvXrv3 |
| 9 (RLIN) |
71003 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
Strong asymptotics for extremal polynomials associated with weights on IR (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCGjvfhRCXh3y3HJrdpyrYK |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Lubinsky, D.S. (Doron Shaul), 1955- |
| Title |
Strong asymptotics for extremal polynomials associated with weights on IR. |
| Place, publisher, and date of publication |
Berlin ; New York : Springer-Verlag, ©1988 |
| Record control number |
(DLC) 88004647 |
| -- |
(OCoLC)17620763 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
1305. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0082413">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0082413</a> |
| 994 ## - |
|---|
| -- |
92 |
| -- |
ATIST |