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1.

図書
図書
1. Approximation theory
edited by G. G. Lorentz, in cooperation with H. Berens, E. W. Cheney [and] L. L. Schumaker
出版情報: New York : Academic Press, 1973  xv, 525 p. ; 24 cm
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2.

図書
図書
2. Bernstein polynomials
by G.G. Lorentz
出版情報: Toronto : University of Toronto Press, 1953  x, 130 p. ; 24 cm
シリーズ名: Mathematical expositions ; no. 8
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3.

図書
図書
3. Approximation of functions
G.G. Lorentz
出版情報: New York : Holt, Rinehart and Winston, 1966  ix, 188 p. ; 25 cm
シリーズ名: Athena series : selected topics in mathematics
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4.

図書
図書
4. Constructive approximation (: gw ; : us)
Ronald A. DeVore, George G. Lorentz
出版情報: Berlin ; Tokyo : Springer-Verlag, c1993  x, 449 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 303
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5.

図書
図書
5. Approximation theory II : proceedings of an international symposium conducted by the University of Texas at Austin, Texas, January 18-21, 1976
edited by G.G. Lorentz, C.K. Chui, L.L. Schumaker
出版情報: New York : Academic Press, 1976  xi, 588 p. ; 24 cm
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6.

図書
図書
6. Approximation theory III : proceedings of a conference honoring Professor George G. Lorentz, held at the University of Texas at Austin, January 8-12, 1980
edited by E.W. Cheney
出版情報: New York : Academic Press, 1980  xxiii, 944 p. ; 24 cm
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7.

図書
図書
7. Constructive approximation : advanced problems (: gw ; : us)
George G. Lorentz, Manfred v. Golitschek, Yuly Makovoz
出版情報: Berlin ; New York : Springer-Verlag, c1996  xi, 649 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 304
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8.

図書
図書
8. Birkhoff interpolation
G.G. Lorentz, K. Jetter, S.D. Riemenschneider
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., 1983  lv, 237 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 19 . Section, Interpolation and approximation
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9.

図書
図書
9. Approximation theory and functional analysis
edited by Charles K. Chui
出版情報: Boston : Academic Press, c1991  x, 247 p. ; 24 cm
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目次情報: 続きを見る
Research and Survey Articles / H. Berens ; Y. Xu
On Bernstein-Durrineyer Polynomials with Jacob Weights / C. Chui
An Overview of Wavelets / G.A. Edgar ; L. Sucheston
A Note on Weak Inequalities in Orlicz and Lorentz Spaces / R.A. Lorentz
Bivariate Birkhoff Interpolation: A Survey / Y. Makovoz
Linear Approximations of Functions with Several Restricted Derivatives / K. Pan ; E.B. Saff
Some Characterizations Theorems for Measures Associated with Orthogonal Polynomials on the Unit Circle / S.D. Reimenschneider ; Z. Shen
Box Splines, Cardinal Series, and Wavelets / H. Rosenthal
Some Aspects of the Subspace Space Structure of Infinite Dimensional Banach Space / J. Roulier ; T. Rando ; B. Piper
Fairness and Monotone Curvature / N. Tomczak-Jacgermann
Projections on 2-Dimensional Spaces / R.S. Varga ; A. Ruttan
Real Versus Complex Best Rational Approximation
Research and Survey Articles / H. Berens ; Y. Xu
On Bernstein-Durrineyer Polynomials with Jacob Weights / C. Chui
An Overview of Wavelets / G.A. Edgar ; L. Sucheston
10.

図書
図書
10. Approximation of functions. 2nd ed. (: alk. paper)
by G.G. Lorentz
出版情報: New York, N.Y. : Chelsea Pub. Co., c1986  ix, 188 p. ; 24 cm
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目次情報: 続きを見る
Possibility of Approximation
Basic notions / 1：
Linear operators / 2：
Approximation theorems / 3：
The theorem of Stone / 4：
Notes / 5：
Polynomials of Best Approximation
Existence of polynomials of best approximation
Characterization of polynomials of best approximation
Applications of convexity
Chebyshev systems
Uniqueness of polynomials of best approximation
Chebyshev's theorem / 6：
Chebyshev polynomials / 7：
Approximation of some complex functions / 8：
Properties of Polynomials and Moduli of Continuity / 9：
Interpolation
Inequalities of Bernstein
The inequality of Markov
Growth of polynomials in the complex plane
Moduli of continuity
Moduli of smoothness
Classes of functions
The Degree of Approximation by Trigonometric Polynomials
Generalities
The theorem of Jackson
The degree of approximation of differentiable functions
Inverse theorems
Differentiable functions
The Degree of Approximation by Algebraic Polynomials
Preliminaries
The approximation theorems
Inequalities for the derivatives of polynomials
Approximation of analytic functions
Approximation by Rational Functions
Functions of Several Variables
Degree of rational approximation
Periodic functions of several variables
Approximation by algebraic polynomials
Approximation by Linear Polynomial Operators
Sums of de la Vallee-Poussin
Positive operators
The principle of uniform boundedness
Operators that preserve trigonometric polynomials
Trigonometric saturation classes
The saturation class of the Bernstein polynomials
Approximation of Classes of Functions
Introduction
Approximation in the space $L^1$
The degree of approximation of the classes $W^*_p$
Distance matrices
Approximation of the classes $\Lambda_{\omega}$
Arbitrary moduli of continuity; Approximation by operators
Analytic functions
Widths
Definitions and basic properties
Sets of continuous and differentiable functions
Widths of balls
Applications of theorem 2
Differential operators
Widths of the sets $\mathfrak{R}_l$
Entropy
Entropy and capacity
Entropy of classes of analytic functions
More general sets of analytic functions
Relations between entropy and widths
Representation of Functions of Several Variables by Functions of One Variable
The Theorem of Kolmogorov
The fundamental lemma
The completion of the proof
Functions not representable by superpositions
Bibliography
Index
Possibility of Approximation
Basic notions / 1：
Linear operators / 2：
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