Approximation Theory, Spline Functions and Applications

Abstract

Preface. Approximation by Functions of Nonclassical Form E.W. Cheney. Wavelets- with Emphasis on Spline-Wavelets and Applications to Signal Analysis C.K. Chui. Pade Approximation in One and More Variables A. Cuyt. Rational Hermite Interpolation in One and More Variables A. Cuyt. The Method of Alternating Orthogonal Projections F. Deutsch. Selections for Metric Projections F. Deutsch. Weighted Polynomials M. v. Golitschek. Some Aspects of Radial Basis Function Approximation W.A. Light. Using the Refinement Equation for the Construction of Pre-Wavelets VI: Shift Invariant Subspaces C.A. Micchelli. A Tutorial on Multivariate Wavelet Decomposition C.A. Micchelli. Error Estimates for Near-Minimax Approximations G.M. Phillips. Different Metrics and Location Problems E. Casini, P.L. Papini. On the Effectiveness of Some Inversion Methods for Noisy Fourier Series L. De Michele, M. Di Natale, D. Roux. A Generalization of N-Widths A.G. Aksoy. The Equivalence of the Usual and Quotient Topologies for CINFINITY(E) when EGBPsubGBPRn is Whitney p-Regular L.P. Bos, P.D. Milman. Korovkin Theorems for Vector-Valued Continuous Functions M. Campiti. On Modified Bojanic-Shisha Operators A.S. Cavaretta, S.S. Guo. A Property of Zeros and Cotes Numbers of Hermite and Laguerre Orthogonal Polynomials F. Costabile. Hermite-Fejer and Hermite Interpolation G. Criscuolo, B. Della Vecchia, G. Mastroianni. New Results on Lagrange Interpolation G. Criscuolo, G. Mastroianni. Ambiguous Loci in Best Approximation Theory F.S. De Blasi, J. Myjak. A Theorem on Best Approximations in Topological Vector Spaces E. De Pascale, G. Trombetta. On theCharacterization of Totally Positive Matrices M. Gasca, J.M. Pena. Iterative Methods for the General Order Complementarity Problem G. Isac. Wavelets, Splines, and Divergence-Free Vector Functions P-G. Lemarie-Rieusset. An Approach to Meromorphic Approximation in a Stein Manifold C.H. Lutterodt. Approximating Fixed Points for Nonexpansive Maps in Hilbert Spaces G. Marino. On Approximation and Interpolation of Convex Functions M. Neamtu. Convergence of Approximating Fixed Point Sets for Multivalued Nonexpansive Mappings P. Pietramala. A Subdivision Algorithm for Non-Uniform B-Splines R. Qu, J.A. Gregory. Some Applications of an Approximation Theorem for Fixed Points of Multi-Valued Contractions B. Ricceri. Geometrical Differentiation and High-Accuracy Curve Interpolation R. Schaback. On Best Simultaneous Approximation in Normed Linear Spaces V.M. Sehgal, S.P. Singh. Some Examples Concerning Projection Constants B. Shekhtman. Subject Index.