MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
05493nam a2200349 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
8994 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250417120606.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
930208s1993 gw b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
93018420 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540506276 |
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| International Standard Book Number |
0387506276 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
CWR |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA221 |
| Item number |
.D44 1993 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
20 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
DeVore, Ronald A |
| 9 (RLIN) |
85734 |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Constructive approximation / |
| Statement of responsibility, etc |
Ronald A. DeVore, George G. Lorentz |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Berlin ; |
| -- |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer-Verlag, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[1993] |
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| Date of production, publication, distribution, manufacture, or copyright notice |
©1993 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 449 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Grundlehren der mathematischen Wissenschaften ; |
| Volume number/sequential designation |
303 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages [434]-446) and index |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Contents |
| -- |
Ch. 1 Theorems of Weierstrass |
| -- |
1 Basic Notions |
| -- |
2 Approximation by Integral Operators |
| -- |
3 The Theorem of Korovkin |
| -- |
4 Theorems of Stone-Weierstrass |
| -- |
Ch. 2 Spaces of Functions |
| -- |
1 Introduction. The Spaces C and L[subscript p] |
| -- |
2 Rearrangement-Invariant Function Spaces |
| -- |
3 Hardy's Inequalities and the ([theta],q)-quasi-norms |
| -- |
4 Linear Operators. Interpolation of Operators |
| -- |
5 Spaces of Differentiable Functions: Sobolev Spaces |
| -- |
6 Moduli of Continuity |
| -- |
7 Moduli of Smoothness |
| -- |
8 Marchaud Inequalities |
| -- |
9 Lipschitz Spaces |
| -- |
10 Besov Spaces |
| -- |
Ch. 3 Best Approximation |
| -- |
1 Introduction: Existence of Best Approximation |
| -- |
2 Kolmogorov's Theorem |
| -- |
3 Haar Systems |
| -- |
4 Uniqueness of Best Approximation in C(A) |
| -- |
5 Chebyshev's Theorem |
| -- |
6 Chebyshev Polynomials |
| -- |
7 Strong Unicity |
| -- |
8 Remez Algorithms |
| -- |
9 Krein's Theorem |
| -- |
10 Best Approximation in L[subscript p], [actual symbol not reproducible] |
| -- |
11 Polya and Descartes Systems |
| -- |
12 Weak Haar Systems |
| -- |
Ch. 4 Properties of Polynomials |
| -- |
1 Inequalities of Bernstein, Szego and Markov |
| -- |
2 Polynomials on the Complex Plane and in Banach Spaces |
| -- |
3 Bernstein Inequalities in L[subscript p], 0 < p < 1 |
| -- |
4 Polynomials with Positive Coefficients in x, 1 - x |
| -- |
5 Lagrange Interpolation |
| -- |
6 Hermite Interpolation |
| -- |
7 Divided Differences |
| -- |
8 Quadrature Formulas |
| -- |
9 Birkhoff Interpolation |
| -- |
10 Regularity of Birkhoff Matrices |
| -- |
Ch. 5 Splines |
| -- |
1 Definitions and Simple Properties |
| -- |
2 B-Splines |
| -- |
3 B-Spline Series |
| -- |
4 Quasi-Interpolant Operators |
| -- |
5 Euler and Bernoulli Splines |
| -- |
6 Definition of Splines by Their Extremal Properties |
| -- |
7 The Kolmogorov-Landau Inequalities |
| -- |
8 Zero Count for Splines |
| -- |
9 Spline Interpolation |
| -- |
10 Sign Variation of Splines |
| -- |
11 Total Positivity of the B-Spline Collocation Matrix |
| -- |
Ch. 6 K-Functionals and Interpolation Spaces |
| -- |
1 K-Functionals |
| -- |
2 K-Functionals and Moduli of Smoothness |
| -- |
3 Comparisons of Moduli of Smoothness |
| -- |
4 Two Theorems of Whitney |
| -- |
5 Averaged Moduli of Smoothness |
| -- |
6 Moduli of Smoothness with Weights |
| -- |
7 The [theta],q-Interpolation Spaces |
| -- |
Ch. 7 Central Theorems of Approximation |
| -- |
2 Trigonometric Approximation |
| -- |
3 Inverse Theorems of Trigonometric Approximation |
| -- |
4 Favard's Theorems |
| -- |
5 Improvement of Estimates |
| -- |
6 Approximation by Algebraic Polynomials |
| -- |
7 Spline Approximation |
| -- |
8 Approximation of Analytic Functions |
| -- |
9 Approximation Spaces |
| -- |
Ch. 8 Influence of Endpoints in Polynomial Approximation |
| -- |
2 Local Inequalities for Polynomials |
| -- |
3 Properties of the Jackson Operators P[subscript n,m](f) |
| -- |
4 Simultaneous Approximation of Functions and Their Derivatives |
| -- |
5 Brudnyi's Theorem |
| -- |
6 Inverse Theorems |
| -- |
7 Approximation Spaces for Algebraic Polynomials |
| -- |
Ch. 9 Approximation by Operators |
| -- |
2 Computation of Some Norms |
| -- |
3 Examples of Linear Polynomial Operators |
| -- |
4 Positive Operators |
| -- |
5 Projections onto Spaces Spanned by Exponentials |
| -- |
6 Lower Bounds |
| -- |
7 Projections in Arbitrary Banach Spaces |
| -- |
8 Families of Commuting Operators |
| -- |
Ch. 10 Bernstein Polynomials |
| -- |
1 Definitions and Inequalities |
| -- |
2 Derivatives of Bernstein Polynomials |
| -- |
3 Approximation and Shape Preserving Properties |
| -- |
4 Bernstein Polynomials of Convex Functions |
| -- |
5 Saturation and Inverse Theorems |
| -- |
6 Saturation Theorems for Kantorovich Polynomials |
| -- |
7 Characterization of Approximation Spaces |
| -- |
8 Further Properties and Variants of Bernstein Polynomials Weak Haar Spaces |
| -- |
Ch. 11 Approximation of Classes of Functions, Muntz Theorems |
| -- |
1 Approximation by Fourier Sums |
| -- |
2 Saturation Classes |
| -- |
3 Saturation of the Fejer Operators |
| -- |
4 Theorems of Korneichuk |
| -- |
5 Muntz' Theorem. Approximation of Monomials |
| -- |
6 Case When [actual symbol not reproducible]. Selection of Best Powers |
| -- |
Ch. 12 Spline Approximation |
| -- |
2 Splines with Equally Spaced Knots |
| -- |
3 Approximation by Dyadic Splines |
| -- |
4 Splines with Free Knots |
| -- |
5 Smoothness in L[subscript p] for 0 < p < 1 |
| -- |
6 Dyadic Splines in L[subscript p], 0 < p < 1 |
| -- |
7 Comparison of the Spaces [actual symbol not reproducible] |
| -- |
8 Free Knot Spline Approximation in L[subscript p], 0 < p < [actual symbol not reproducible] |
| -- |
Ch. 13 Spline Interpolation and Projections onto Spline Spaces |
| -- |
1 Introduction. Lagrange Interpolation by Splines |
| -- |
2 Selection of Interpolation Points |
| -- |
3 Cubic Spline Interpolation |
| -- |
4 Orthogonal Projection onto Splines |
| -- |
5 Interpolation on R |
| -- |
6 Cardinal Spline Interpolation |
| -- |
7 Approximation from Shift Invariant Spaces |
| -- |
8 Shape Preserving Interpolation |
| -- |
9 Shape Preserving Quadratic Spline Interpolation |
| -- |
Bibliography |
| -- |
Index |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Approximation theory |
| 9 (RLIN) |
118740 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lorentz, G. G |
| 9 (RLIN) |
89467 |
| Relator term |
Author |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
78749 |
| Uniform title |
Grundlehren der mathematischen Wissenschaften ; |
| Volume number/sequential designation |
303 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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