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Beskrivning
These refereed papers contain developments in univariate and multivariate approximation theory, applications in computer-aided geometrical design, a tool in engineering and medical technology, radial basis functions, bivariate spline interpolation, and subdivision algorithms.
Feller semigroups, Bernstein type operators and generalized convexity associated with positive projections, Francesco Altomare; Gregory's rational cubic splines in interpolation subject to derivative obstacles, Marion Bastian-Walther and Jochen W. Schmidt; interpolation by splines on triangulations, Oleg Vadydov et al; on the use of quasi-Newton methods in DAE-codes, Christoph Fredebeul and Christoph Weber; on the regularity of some differential operators, Karsten Kamber and Xinlong Zhou; some inequalities for trigonometric polynomials and their derivatives, Hans-Bernd Knoop and Xinlong Zhou; Inf-convolution and radial basis functions, Alain Le Mehaute; on a special property of the averaged modulus for functions of bounded variation, Burkhard Lenze; a simple approach to the variational theory for interpolation on spheres, Jeremy Levesley et al; constants in comonotone polynomial approximation - a survey, L. Leviatan and I.A. Shevchuk; will Ramanujan kill Baker-Gammel-Wills? (a selective survey of Pade approximation), Doron S. Lubinsky; approximation operators of binomial type, Alexandru Lupas; certain results involving gammaoperators, Alexandru Lupas et al; recent research at Cambridge on radial basis functions, M.J.D. Powell; representation of quasi-interpolants as differential operators and applications, Paul Sablonniere; native Hilbert spaces for radial basis functions 1, Robert Schaback; adaptive approximation with Walsh-similar functions, Bl. Sendov; dual recurrence and Christoffel-Darboux-type formulas for orthogonal polynomials, Michael-Ralf Skrzipek; on some problems of weighted polynomial approximation and interpolation, Jozsef Szabados; asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights - some new theorems and applications, Peter Vertesi.