40 citations · 40 across the 5 of their papers we have counts for
4 papers · 1 filter
A global approximation method for second-kind nonlinear integral equations
Luisa Fermo, Anna Lucia Laguardia, Concetta Laurita +1
A global approximation method of Nyström type is explored for the numerical solution of a class of nonlinear integral equations of the second kind. The cases of smooth and weakly s…
On the error of best polynomial approximation of composite functions
Luisa Fermo, Concetta Laurita, Maria Grazia Russo
The purpose of the paper is to provide a characterization of the error of the best polynomial approximation of composite functions in weighted spaces. Such a characterization is es…
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…