7 citations · 11 across the 12 of their papers we have counts for
14 papers · 1 filter
A Rational Discrete Collocation Method for Second Kind Fredholm Equations
Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1
In this work we present a novel discrete collocation method for the numerical solution of Fredholm integral equations of the second kind in the space of continuous functions equipp…
De la Vallée Poussin type approximation for solving some Fredholm integral equations
Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1
In the present paper, we introduce a numerical method for second-kind Fredholm integral equations (FIEs) based on de la Vallée Poussin-type (VP) polynomial approximations at Jacobi…
Orthonormal polynomial wavelets associated with de la Vallée Poussin-type interpolation on
Woula Themistoclakis, Marc Van Barel
Starting from de la Vallée Poussin type (VP) interpolation, the authors have recently introduced a family of interpolating polynomial scaling and wavelet bases generating the appro…
A free parameter depending family of polynomial wavelets on a compact interval
Woula Themistoclakis, Marc Van Barel
On a compact interval, we introduce and study a whole family of wavelets depending on a free parameter that can be suitably modulated to improve performance. Such wavelets arise fr…
A Parametric Family of Polynomial Wavelets for Signal and Image Processing
Mariantonia Cotronei, Woula Themistoclakis, Marc Van Barel
This paper investigates the potential applications of a parametric family of polynomial wavelets that has been recently introduced starting from de la Vallée Poussin (VP) interpola…
De la Vallée Poussin filtered polynomial approximation on the half line
Occorsio Donatella, Woula Themistoclakis
On the half line we introduce a new sequence of near--best uniform approximation polynomials, easily computable by the values of the approximated function at a truncated number of…
A generalization of Floater--Hormann interpolants
Woula Themistoclakis, Marc Van Barel
In this paper the interpolating rational functions introduced by Floater and Hormann are generalized leading to a whole new family of rational functions depending on , an additi…
Filtered integration rules for finite Hilbert transforms
D. Occorsio, M. G. Russo, W. Themistoclakis
A product quadrature rule, based on the filtered de la Vallée Poussin polynomial approximation, is proposed for evaluating the finite Hilbert transform in [-1; 1]. Convergence resu…
Lagrange-Chebyshev Interpolation for image resizing
Donatella Occorsio, Giuliana Ramella, Woula Themistoclakis
Image resizing is a basic tool in image processing and in literature we have many methods, based on different approaches, which are often specialized in only upscaling or downscali…
Some remarks on filtered polynomial interpolation at Chebyshev nodes
D. Occorsio, W. Themistoclakis
The present paper concerns filtered de la Vallée Poussin (VP) interpolation at the Chebyshev nodes of the four kinds. This approximation model is interesting for applications becau…
Filtered interpolation for solving Prandtl's integro-differential equations
Maria Carmela De Bonis, Donatella Occorsio, Woula Themistoclakis
In order to solve Prandtl-type equations we propose a collocation-quadrature method based on VP filtered interpolation at Chebyshev nodes. Uniform convergence and stability are pro…
On the filtered polynomial interpolation at Chebyshev nodes
Donatella Occorsio, Woula Themistoclakis
The paper deals with a special filtered approximation method, which originates interpolation polynomials at Chebyshev zeros by using de la Vallée Poussin filters. These polynomials…
Optimal Lebesgue constants for least squares polynomial approximation on the (hyper)sphere
Woula Themistoclakis, Marc Van Barel
We investigate the uniform approximation provided by least squares polynomials on the unit Euclidean sphere in , with . Like any other poly…
Uniform approximation on the sphere by least squares polynomials
Woula Themistoclakis, Marc Van Barel
The paper concerns the uniform polynomial approximation of a function , continuous on the unit Euclidean sphere of and known only at a finite number of points th…