5 papers
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 Jacob…
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 appr…
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) interpol…
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…