Multivariate Approximation Theory II: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, February 8–12, 1982

Front Matter....Pages 1-22
Some Remarks on Product Approximations....Pages 27-35
Approximation Theory on a Snowflake....Pages 37-41
Estimates and Bounds for the Doubly Perturbed Eigenvalue Problem....Pages 43-45
Remarks on Reduced Hermite Interpolation....Pages 47-58
Ein Beispiel zur Theorie der Besten Approximation....Pages 59-67
On Spaces of Piecewise Polynomials with Boundary Conditions. I. Rectangles....Pages 69-80
Some Remarks on Multivariate B-Splines....Pages 81-87
On Discrete Trivariate Blending Interpolation....Pages 89-106
On Precision Sets of Interpolation Projectors....Pages 107-124
Which Closed Convex Subsets of an Inner Product Space are Chebyshev?....Pages 125-129
Interpolation methods for numerical analytic continuation....Pages 131-141
Blending-Splines auf Dreiecksnetzen....Pages 143-149
Remainder Terms in Numerical Integration Formulas of the Sphere....Pages 151-170
A Generalized Sylvester’s Identity on Determinants and its Applications to Interpolation Problems....Pages 171-184
Biorthogonality in Approximation....Pages 185-189
Cubature Remainder and Biorthogonal Systems....Pages 191-200
Product Approximation: Error Estimates....Pages 201-209
A Lagrangian Method for Multivariate Continuous Chebyshev Approximation Problems....Pages 211-221
Construction of Surfaces of Class C k on a Domain Ω ⊂ ℝ 2 , After Triangulation....Pages 223-240
Minimal Projections and Near-Best Approximations by Multivariate Polynomial Expansion and Interpolation....Pages 241-254
Sharp “A Priori” Error Bounds for Polynomial Approximation in Sobolev Spaces....Pages 255-274
An Immediate Construction of Numerical Integration and Differentiation Formulae....Pages 275-283
On the Approximation by Multiple Orthogonal Series....Pages 285-296
Quantitative Theorems on Approximation Processes of Positive Linear Operators....Pages 297-311
Some Relationships Between Surface Splines and Kriging....Pages 313-325
A View of Mathematics....Pages 327-330
Drei Statt Einer Reellen Variablen?....Pages 331-341
Eine Methode zur Konstruktion von C 1 -Flächen zur Interpolation Unregelmässig Verteilter Daten....Pages 343-361
Approximation Theory and “Domain of Dependence” for P.D.E. of Hyperbolic Type....Pages 363-374
Properties of Spline Projections....Pages 375-384
A Survey of Recent Results on Approximation Theory in China....Pages 385-406
Vector Splines on the Sphere, with Application to the Estimation of Vorticity and Divergence from Discrete, Noisy Data....Pages 407-429