Approximation theory, wavelets and applications

Front Matter....Pages i-xxiii
A Class of Interpolating Positive Linear Operators: Theoretical and Computational Aspects....Pages 1-36
Quasi-Interpolation....Pages 37-45
Approximation and Interpolation on Spheres....Pages 47-53
Exploring Covariance, Consistency and Convergence in Pade Approximation Theory....Pages 55-86
Dykstra’s Cyclic Projections Algorithm: The Rate of Convergence....Pages 87-94
Interpolation from a Convex Subset of Hilbert Space: A Survey of Some Recent Results....Pages 95-105
The Angle Between Subspaces of a Hilbert Space....Pages 107-130
Neville Elimination and Approximation Theory....Pages 131-151
Approximation with Weights, the Chebyshev Measure and the Equilibrium Measure....Pages 153-167
A One-Parameter Class of B-Splines....Pages 169-176
Interpolation on the Triangle and Simplex....Pages 177-196
Knot Removal for Scattered Data....Pages 197-213
Error Estimates for Approximation by Radial Basis Functions....Pages 215-246
Wavelets on the Interval....Pages 247-283
Best Approximations and Fixed Point Theorems....Pages 285-294
How to Approximate the Inverse Operator....Pages 295-302
On some Averages of Trigonometric Interpolating Operators....Pages 303-313
On the Zeros Localization of K>2 Consecutive Orthogonal Polynomials and of Their Derivatives....Pages 315-324
Can Irregular Subdivisions Preserve Convexity?....Pages 325-334
On Functions Approximation by Shepard-Type Operators — A Survey....Pages 335-346
Wavelet Representation of the Potential Integral Equations....Pages 347-356
Liapunov Theorem in Approximation Theory....Pages 357-364
On the Order Monotonicity of the Metric Projection Operator....Pages 365-379
Pointwise Estimates for Multivariate Interpolation Using Conditionally Positive Definite Functions....Pages 381-401
Experiments with a Wavelet Based Image Denoising Method....Pages 403-414
Proximity Maps: Some Continuity Results....Pages 415-421
Non-smooth Wavelets: Graphing functions unbounded on every interval....Pages 423-432
On the Possible Wavelet Packets Orthonormal Bases....Pages 433-442
A Case Study in Multivariate Lagrange Interpolation....Pages 443-452
Trigonometric Wavelets for Time-Frequency-Analysis....Pages 453-464
Interpolating Subspaces in R N ....Pages 465-471
Multivariate Periodic Interpolating Wavelets....Pages 473-483
Finite Element Multiwavelets....Pages 485-496
Polynomial Wavelets on [-1, 1]....Pages 497-512
On the Solution of Discretely Given Fredholm Integral Equations Over Lines....Pages 513-522
De-Noising Using Wavelets and Cross Validation....Pages 523-532
On the Construction of two Dimensional Spatial Varying fir Filter Banks with Perfect Reconstruction....Pages 533-542
Recursions for Tchebycheff B-Splines and their Jumps....Pages 543-555
Quasi-Interpolation on Compact Domains....Pages 557-566
Eigenvalues and Nonlinear Volterra Equations....Pages 567-570
Back Matter....Pages 571-572