5 citations · 11 across the 5 of their papers we have counts for
5 papers
Constrained Optimal Smoothing and Bayesian Estimation
X Bay, Laurence Grammont
In this paper, we extend the correspondence between Bayesian estimation and optimal smoothing in a Reproducing Kernel Hilbert Space (RKHS) adding a convexe constraints on the solut…
Discrete Modified Projection Methods for Urysohn Integral Equations with Green's Function Type Kernels
Rekha P. Kulkarni, Gobinda Rakshit
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r…
An improvement of the product integration method for a weakly singular Hammerstein equation
Laurence Grammont, Hanane Kaboul
We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the d…
Generalization of the Kimeldorf-Wahba correspondence for constrained interpolation
Xavier Bay, Laurence Grammont, Hassan Maatouk
In this paper, we extend the correspondence between Bayes' estimation and optimal interpolation in a Reproducing Kernel Hilbert Space (RKHS) to the case of linear inequality constr…
A Product Integration type Method for solving Nonlinear Integral Equations in L
L. Grammont, H. Kaboul, M. Ahues
This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ([a, b], C). A…