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Tables of Contents for Approximation Theory IX
Chapter/Section Title
Page #
Page Count
Preface
viii
Contributors
ix
The Degree of Convergence of Sequences of Multivariate Wavelet Type Operators
1
6
George A. Anastassiou
Best m-Term Approximation of Functions from Classes MWrq,α
7
8
Alexander V. Andrianov
Vladimir N. Temlyakov
Necessary Conditions for Abadie's Constraint Qualification and Best Approximation of Vector-Valued Functions
15
8
Martin Bartelt
n-Widths of Multiplier Operators on Two-Point Homogeneous Spaces
23
8
B. Bordin
A.K. Kushpel
J. Levesley
S.A. Tozoni
Some Old Problems on Polynomials with Integer Coefficients
31
20
Peter Borwein
On the Irrationality of Σ∞i = 0 q-i Πij = 0 (1 + q-jr + q-2js)
51
8
Peter B. Borwein
Ping Zhou
On a Weighted Recursive Rule
59
8
Michele Campiti
Approximation of the Inverse Frame Operator
67
8
Peter Casazza
Ole Christensen
The Bernstein Operator is the Closest Positive Operator to a Projection
75
8
Bruce L. Chalmers
Dany Leviatan
Michael P. Prophet
Finite-Dimensional Action Constants
83
6
B.L. Chalmers
K. Pan
Approximation by Sums of Exponentials to Decay Functions Using Piecewise Linear Models
89
8
Maurice G. Cox
Helen E. Joyce
John C. Mason
A Differential Geometric Approach to Equidistributed Knots on Riemannian Manifolds
97
8
Uwe Depczynski
Joachim Stockler
The Role of the Strong Conical Hull Intersection Property in Convex Optimization and Approximation
105
8
Frank Deutsch
Fractional Error Constants for Quadrature Formulas
113
6
Kai Diethelm
Generalized Bernstein-Erdos Conjecture
119
8
P. Dragnev
D. Legg
D. Townsend
Non-convexity of the Set of Polya Limits
127
6
A. Egger
T. Lay
G.D. Taylor
Estimates for Some Positive Operators via Step-Weight Functions with Concave Squares
133
8
Michael Felten
Polynomial Approximation on the m-Dimensional Ball
141
8
Michael I. Ganzburg
Approximation Using Scale Transformations
149
8
Christian Gout
Linear Discrete Operators and Recovery of Functions
157
8
Ivan Ivanov
Boris Shekhtman
Chebyshev Quadrature Recognizes Algebraic Curves and Surfaces
165
10
J. Korevaar
Ray Sequences of Best Rational Approximants to Entire Functions
175
26
A. V. Krot
V. A. Prokhorov
E. B. Saff
Extremal Problems for Logarithmic Potentials
201
22
A. B. J. Kuijlaars
Monotone Approximation Estimates Involving the Third Modulus of Smoothness
223
8
Dany Leviatan
Igor A. Shevchuk
Infinite Dimensional Width of Function Class With Non-symmetric Smoothness Conditions
231
8
Yongping Liu
Rational Approximation in Logarithmic Capacity of Meromorphic Maps from Cn to Cm
239
8
Clement Lutterdot
Stanley Einstein-Matthews
Best Approximation by Quadratic Algebraic Functions
247
8
Allan W. McInnes
Lp-Convergence of the Lagrange-Type Interpolation in the Rational Space
255
8
G. Min
Approximation of Functions by Linear Matrix Operators
263
8
M. L. Mittal
Neeraj Bhardwaj
Weighted Approximation on Compact Sets
271
8
Igor E. Pritsker
Characterization of Best L1-Coapproximation
279
8
Geetha S. Rao
R. Saravanan
Algebraic Aspects of Polynomial Interpolation in Several Variables
287
8
Thomas Sauer
Adaptive Approximation and Compression
295
8
Bl. Sendov
On the Discrete Norms of Polynomials
303
6
Boris Shekhtman
Generation of Weight Functions for Orthogonal Polynomials
309
8
M.-R. Skrzipek
On Products of Positive Definite Functions
317
8
Hans Strauss
On the Jackson Theorem for Approximation by Algebraic Polynomials
325
6
Gancho Tachev
On Approximation of Cauchy-Type Integrals by Sequences of Rational Functions with Preassigned Poles
331
8
Genrikh Ts. Tumarkin
Sharp Error Estimates for Multivariate Positive Linear Operators
339
8
Shayne Waldron
Realizable Approximation Bounds for a Solvable Neural Network
347
Sumio Watanabe