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Approximation Theory, Wavelets and Applications

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概要 Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Padé theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.
目次 A Class of Interpolating Positive Linear Operators: Theoretical and Computational Aspects
Quasi-Interpolaton
Approximation and Interpolation on Spheres
Exploring Covariance, Consistency and Convergence in Pade Approximation Theory
Dykstra's Cyclic Projections Algorithm: The Rate of Convergence
Interpolation From a Convex Subset of Hilbert Space: A Survey of Some Recent Results
The Angle Between Subspaces of a Hilbert Space
Neville Elimination and Approximation Theory
Approximation With Weights, the Chebyshev Measure and the Equilibrium Measure
A One-Parameter Class of B-Splines
Interpolation on the Triangle and Simplex
Knot Removal for Scattered Data
Error Estimates for Approximation by Radial Basic Functions
Wavelets on the Interval
Best Approximations and Fixed Point Theorems
How to Approximate the Inverse Operator
On Some Averages of Trigonometric Interpolating Operators
On the Zeros Localization of K > 2 Consecutive Orthogonal Polynomials and of Their Derivatives
Can Irregular Subdivisions Preserve Convexity?
On Functions Approximation by Shepard-Type Operators - A Survey
Wavelet Respresentation of the Potential Integral Equations
Liapunov Theorem in Approximation Theory
On the Order Monotonicity of the Metric Projection Operator
Pointwise Estimates for Multivariate Interpolation Using Conditionally Positive Definite Functions
Experiments With a Wavelet Based Image Denoising Method
Proximity Maps: Some Continuity Results
Non-Smooth Wavelets: Graphing Functions Unbounded on Every Interval
On the Possible Wavelet Packets Orthonormal Bases
A Case Study in Multivariate Lagrange Interpolation
Trigonometric Wavelets for Time-Frequency-Analysis
Interpolating Subspaces in Rn
Multivariate Periodic Interpolating Wavelets
Finite Element Multiwavelets
Polynomial Wavelets on [-1,1]
On the Solution of Discretely Given Fredholm Integral Equations Over Lines
De-Noising Using Wavelets and Cross Validation
On the Construction of Two Dimensional Spatial Varying FIR Filter Banks With Perfect Reconstruction
Recursions for Tchebycheff B-Splines and Their Jumps
Quasi-Interpolation on Compact Domains
Eigenvalues and Nonlinear Volterra Equations.
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登録日 2016.01.13
更新日 2017.11.26