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

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

- Donatella Occorsio
- Applied Mathematics and Computation
- 2009

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Dedicated to Professor József Szabados on the occasion of his 70th birthday. a b s t r… (More)

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

- Donatella Occorsio
- Applied Mathematics and Computation
- 2011

Let Bm(f) be the Bernstein polynomial of degree m. The Generalized Bernstein polynomials B m,λ (f, x) = ∞ ∑ i=1 (−1) i+1 (λ i) B i m (f ; x), λ ∈ R + were introduced in [13]. In the present paper some of their properties are revisited and some applications are presented. Indeed, the stability and the convergence of a quadrature rule on equally spaced knots… (More)

- 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)

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)

In the present paper is proposed a numerical method to approximate Hilbert transforms of the type

- Donatella Occorsio, Maria Grazia Russo
- J. Computational Applied Mathematics
- 2014

Let {p m (w α)} m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight w α (x) = e −x 2 |x| α. The authors study extended Lagrange interpolation processes essentially based on the zeros of p m (w α)p m+1 (w α), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.