Spline Functions and Approximation Theory : Proceedings of the Symposium held at the University of Alberta, Edmonton May 29 to June 1, 1972

Front Matter....Pages 1-10 Pointwise Saturation....Pages 11-30 A Combinatorial Problem in Best Uniform Approximation....Pages 31-56 Good Approximation by Splines with Variable Knots....Pages 57-72 Saturation and Inverse Theorems for Spline Approximation....Pages 73-82 Saturation Classes for Exponential Formulae of Semi-Groups of Operators....Pages 83-99 On Some Conjectures of Askey Concerning Completely Monotonic Functions....Pages 101-111 Une Application de la Theorie de l’Approximation a l’Etude des Fonctions Holomorphes....Pages 113-118 Linearization in Certain Nonconvex Minimization Problems and Generalized Spline Projections....Pages 119-167 On the Convergence of Cubic Interpolating Splines....Pages 169-189 Averaging Interpolation....Pages 191-233 On the Construction of Multidimensional Splines....Pages 235-265 On Error Estimates a Posteriori in Iterative Procedures....Pages 267-275 Splines and Histograms....Pages 277-327 Appendix to ‘Splines and Histograms’ by I.J. Schoenberg....Pages 329-358 Real Analytic Functions as Ratios of Absolutely Monotonic Functions....Pages 359-370 Inverse Theorems for Approximation by Positive Linear Operators....Pages 371-375 Lacunary Interpolation by Splines....Pages 377-380 Stability Properties of Trigonometric Interpolation Operators....Pages 381-382 Chebyshev Semi-Discrete Approximations for Linear Parabolic Problems....Pages 383-386