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The authors give a procedure to construct extended interpolation formulae and prove some uniform convergence theorems.
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.
Let Bm(f) be the Bernstein polynomial of degree m. The Generalized Bernstein polynomials
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  on the numerical solution of an integral equation for the… (More)