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The authors give a procedure to construct extended interpolation formulae and prove some uniform convergence theorems.

- Donatella Occorsio, Maria Grazia Russo
- Applied Mathematics and Computation
- 2011

- Donatella Occorsio
- Applied Mathematics and Computation
- 2009

The author studies the uniform convergence of extended Lagrange interpolation processes based on the zeros of Generalized Laguerre polynomials. 2009 Elsevier Inc. All rights reserved.

- Donatella Occorsio
- Applied Mathematics and Computation
- 2011

Let Bm(f) be the Bernstein polynomial of degree m. The Generalized Bernstein polynomials

- Giuseppe Mastroianni, Gradimir V. Milovanovic, Donatella Occorsio
- Applied Mathematics and Computation
- 2013

- Giuseppe Mastroianni, Donatella Occorsio
- J. Computational Applied Mathematics
- 2010

- K. Nedaiasl, Foroush Bastani, D. Occorsio
- 2017

In this paper, the numerical solution of non-standard and nonlinear Volterra integral equations is studied and computationally efficient schemes based on quadrature methods are presented. The numerical methods are of Runge-Kutta and barycentric rational quadrature types. A convergence analysis of the barycentric rational quadrature method is discussed and… (More)

- Antonio J. Durán, Francisco Marcellán, +5 authors Ulises Fidalgo
- 2014

A collocation-quadrature method is proposed and studied for the numerical solution of a singular integral equation concerned with the two-dimensional elasticity problem of a crack at a circular cavity surface. These investigations are based on an C∗-algebra approach presented in a recent paper [5] on the numerical solution of an integral equation for the… (More)