Titlebook: New Developments in Approximation Theory; 2nd International Do Manfred W. Müller,Martin D. Buhmann,Michael Felten Conference proceedings 19

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Representation of quasi-interpolants as differential operators and applications, estimates and uniform boundedness of norms. In the Durrmeyer case, the polynomial coefficients of the associated linear differential operators are nicely connected with Jacobi or Laguerre orthogonal polynomials.

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Native Hilbert Spaces for Radial Basis Functions I,. The dependence of native spaces on the domain is studied, and criteria for functions and functionals to be in the native space are given. Basic facts on optimal recovery, power functions, and error bounds are included.

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