MARC details
| 000 -LEADER |
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06011cam a2200853 a 4500 |
| 001 - CONTROL NUMBER |
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ocn612412955 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220713025736.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr buu|||uu||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100507s2009 si ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
LLB |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
LLB |
| Modifying agency |
N$T |
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E7B |
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OCLCQ |
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FVL |
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OCLCE |
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OCLCQ |
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DEBSZ |
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OCLCO |
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OCLCQ |
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OCLCF |
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MERUC |
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OCLCQ |
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OCLCQ |
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ICG |
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AU@ |
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OCLCQ |
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DKC |
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OCLCQ |
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K6U |
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OCLCQ |
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M8D |
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OCLCO |
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671655896 |
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694144310 |
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698022785 |
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712995106 |
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719420478 |
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743436987 |
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748608579 |
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760295338 |
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961505212 |
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962693609 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814282437 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
981428243X |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9814282421 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9789814282420 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000051451676 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV043126290 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBBG |
| System control number |
BV044178927 |
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| OCLC library identifier |
DEBSZ |
| System control number |
372737854 |
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| OCLC library identifier |
DEBSZ |
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407526056 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
421676353 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DEBSZ |
| System control number |
445579579 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
14243384 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)612412955 |
| Canceled/invalid control number |
(OCoLC)671655896 |
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(OCoLC)694144310 |
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(OCoLC)698022785 |
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(OCoLC)712995106 |
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(OCoLC)719420478 |
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(OCoLC)743436987 |
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(OCoLC)748608579 |
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(OCoLC)760295338 |
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(OCoLC)961505212 |
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(OCoLC)962693609 |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
dlr |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA221 |
| Item number |
.G33 2009eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
000000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.4 |
| Edition number |
22 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gal, Sorin G., |
| Dates associated with a name |
1953- |
| 9 (RLIN) |
1461320 |
| 245 10 - TITLE STATEMENT |
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| Title |
Approximation by complex Bernstein and convolution type operators / |
| Statement of responsibility, etc |
Sorin G. Gal. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Singapore ; |
| -- |
Hackensack, N.J. : |
| Name of publisher, distributor, etc |
World Scientific Pub. Co., |
| Date of publication, distribution, etc |
©2009. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xii, 337 pages) |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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data file |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Series on concrete and applicable mathematics, |
| International Standard Serial Number |
1793-1142 ; |
| Volume number/sequential designation |
v. 8 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 327-336) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Bernstein-type operators of one complex variable. 1.0. Auxiliary results in complex analysis. 1.1. Berstein polynomials. 1.2. Iterates of Bernstein polynomials. 1.3. Generalized Voronovskaja theorems for Bernstein polynomials. 1.4. Butzer's linear combination of Bernstein polynomials. 1.5. q-Bernstein polynomials. 1.6. Bernstein-Stancu polynomials. 1.7. Bernstein-Kantorovich type polynomials. 1.8. Favard-Szász-Mirakjan operators. 1.9. Baskakov operators. 1.10. Balázs-Szabados operators. 1.11. Bibliographical notes and open problems -- 2. Bernstein-type operators of several complex variables. 2.1. Introduction. 2.2. Bernstein polynomials. 2.3. Favard-Szász-Mirakjan operators. 2.4. Baskakov operators. 2.5. Bibliographical notes and open problems -- 3. Complex convolutions. 3.1. Linear polynomial convolutions. 3.2. Linear non-polynomial convolutions. 3.3. Nonlinear complex convolutions. 3.4. Bibliographical notes and open problems. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types : Bernstein, Bernstein-Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szász-Mirakjan, Baskakov and Balázs-Szabados. The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions : the de la Vallée Poussin, Fejér, Riesz-Zygmund, Jackson, Rogosinski, Picard, Poisson-Cauchy, Gauss-Weierstrass, q-Picard, q-Gauss-Weierstrass, Post-Widder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDEs) are also presented. Many of the open problems encountered in the studies are proposed at the end of each chapter. For further research, the monograph suggests and advocates similar studies for other complex Bernstein-type operators, and for other linear and nonlinear convolutions. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
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| Materials specified |
Use copy |
| Standardized terminology for access restriction |
Restrictions unspecified |
| Source of term |
star |
| Institution to which field applies |
MiAaHDL |
| 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 |
2011. |
| -- |
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> |
| -- |
MiAaHDL |
| 583 1# - ACTION NOTE |
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| Action |
digitized |
| Time/date of action |
2011 |
| Jurisdiction |
HathiTrust Digital Library |
| Status |
committed to preserve |
| Source of term |
pda |
| Institution to which field applies |
MiAaHDL |
| 588 0# - |
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| -- |
Print version record. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Approximation theory. |
| 9 (RLIN) |
60944 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Operator theory. |
| 9 (RLIN) |
68628 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Bernstein polynomials. |
| 9 (RLIN) |
280667 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Convolutions (Mathematics) |
| 9 (RLIN) |
195466 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie de l'approximation. |
| 9 (RLIN) |
881022 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie des opérateurs. |
| 9 (RLIN) |
882820 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Polynômes de Bernstein. |
| 9 (RLIN) |
1461321 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Convolutions (Mathématiques) |
| 9 (RLIN) |
895521 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
General. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
858606 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Approximation theory. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00811829 |
| 9 (RLIN) |
60944 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Bernstein polynomials. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00830782 |
| 9 (RLIN) |
280667 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Convolutions (Mathematics) |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst00877310 |
| 9 (RLIN) |
195466 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Operator theory. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01046419 |
| 9 (RLIN) |
68628 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
World Scientific (Firm) |
| 9 (RLIN) |
74845 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| International Standard Book Number |
9814282421 |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| International Standard Book Number |
9789814282420 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Series on concrete and applicable mathematics ; |
| Volume number/sequential designation |
v. 8. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340525">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340525</a> |
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ebr10422512 |
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EBSCOhost |
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EBSC |
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340525 |
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YBP Library Services |
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YANK |
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3511482 |
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92 |
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INOPJ |
