Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook.
Extensions of best approximation and coincidence theorems.
Extensions of linear operators from hyperplanes of
Let be a hyperplane and let be given. Denote In this paper the problem of calculating of the constant is studied. We present a complete characterization of those for which . Next we consider the case . Finally some computer examples will be presented.
Extremal problems with polynomials.
- transfinite diameter and number theoretic applications
Familles fuchsiennes d’équations aux (-)différences et confluence
On commence par présenter une méthode de résolution d’une famille de systèmes fuchsiens d’opérateurs de pseudo-dérivations associées à une famille à deux paramètres d’homographies, qui unifie et généralise les cas connus des systèmes différentiels, aux différences ou aux -différences. Nous traitons ensuite dans cette famille des problèmes de confluence que l’on peut voir comme des problèmes de continuité en ces deux paramètres.
Farthest points in normed linear spaces.
Fast evaluation of thin-plate splines on fine square grids
The paper deals with effective calculation of Thin-Plate Splines (TPS). We present a new modification of hierarchical approximation scheme. Unlike 2-D schemes published earlier, we propose an 1-D approximation. The new method yields lower computing complexity while it preserves the approximation accuracy.
Fast multilevel evaluation of smooth radial basis function expansions.
Fehlerabschätzungen für Gauß-Quadraturformeln.
Fehlerabschätzungen für Koeffizienten von Exponentialsummen und Polynomen.
Fehlerabschätzungen für nichtsymmetrische Gauß-Quadraturformeln.
Finite-difference preconditioners for superconsistent pseudospectral approximations
The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems, are presented...
Finite-Dimensional Approximation of the Inverse Frame Operator.
Finite-infinite-range inequalities in the complex plane.
Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines.
Fonctions convexes et logarithmes de polynômes à coefficients positifs
Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.
The theory of convergence for (non-stationary) scaling functions and the approximation of interpolating scaling filters by means of Bernstein polynomials, allow us to construct a non-stationary interpolating scaling function with interesting approximation properties.
Fonctions spline par moyennes locales sur un ouvert borné de
Fonctions-spline et espérances conditionnelles de champs gaussiens