7 citations · 8 across the 11 of their papers we have counts for
13 papers
Lagrange interpolation processes based on the zeros of anti-Gauss Jacobi polynomials
Patricia Díaz de Alba, Luisa Fermo, Valerio Loi +1
This paper introduces and investigates a new Lagrange interpolation process based on the zeros of anti-Gauss Jacobi polynomials. Fundamental properties of anti-Gauss nodes, includi…
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…
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 product integration rule on equispaced nodes for highly oscillating integrals
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
This paper provides a product integration rule for highly oscillating integrands, based on equally spaced nodes. The stability and the error estimate are proven in the space of con…
On the numerical solution of Volterra integral equations on equispaced nodes
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, define…