Title | Multivariate Approximation Theory III [electronic resource] : Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, January 20-26, 1985 / edited by Walter Schempp, Karl Zeller |
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Imprint | Basel : Birkhรคuser Basel, 1985 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9321-3 |
Descript | 400 p. online resource |
Zur Tagung -- List of Participants -- Program of the Sessions -- L. Bamberger: Interpolation in bivariate spline spaces -- n-th order polynomial spline blending -- The limits of multivariate cardinal splines -- Local smoothing for scattered and noisy data -- Convexity and variation diminishing property of Bernstein polynomials over triangles -- The dimensions of bivariate spline spaces over triangulations -- On bivariate vertex splines -- Biorthogonal system of polynomials on the standard simplex -- Anwendung der Approximationstheorie auf gewisse singulare Randwertaufgaben -- Combinatorial aspects of multivariate splines -- Intermediate blending interpolation -- Hermite-interpolation in N variables and minimal cubature formulae -- Some reflections on multi-dimensional Euler and Poisson summation formulas -- On the dimension of the spline space S 21(D) in special cases -- Degree of best approximation by blending functions -- Shape preserving approximation by polyhedral splines -- Numerical realization of boundary collocation methods -- Interpolation by polynomials and natural splines on normal lattices -- Bivariate approximation procedures -- Construction and applications of Hermite interpolating quadratic spline functions of two and three variables -- Hermite-Fejรฉr and higher Hermite-Fejรฉr interpolation with boundary conditions -- Some uniqueness problems in best Chebyshev and mean multivariate approximation -- Minimal projections in tensor product spaces -- Convergence of Hermite-Fejรฉr interpolation via Korovkinโs theorem -- Cubature error bounds using degrees of approximation -- Square functions in the theory of Cesaro summability of double orthogonal series -- Generalized Melkes interpolation -- Approximation theory and analysis of spectral methods -- On multivariate polynomial L1-approximation to zero and related coefficient inequalities -- Abschatzungen von Lagrange-Quadratsummen fรผr die Sphรคre mit Hilfe gewisser Eigenwerte -- On Gabor information cells -- Ein Beitrag zur Flachenapproximation รผber unregelmรครig vertei lten Daten -- The basis and moment problems of some systems of analytic functions -- Normen von Projektionen in mehreren Veranderlichen -- The solution of generalized least squares problems