In this paper some recent applications of the so-called Generalized Bernstein polynomials
are collected. This polynomial sequence is constructed by means of the samples of a …

We present a new image scaling method both for downscaling and upscaling, running with
any scale factor or desired size. The resized image is achieved by sampling a bivariate …

In order to solve Prandtl-type equations we propose a collocation-quadrature method based
on de la Vallée Poussin (briefly VP) filtered interpolation at Chebyshev nodes. Uniform …

The paper deals with a special filtered approximation method, which originates interpolation
polynomials at Chebyshev zeros by using de la Vallée Poussin filters. In order to get an …

In this paper, a general approach to de la Vallée Poussin means is given and the resulting
near best polynomial approximation is stated by developing simple sufficient conditions to …

Starting from the function values on the roots of Jacobi polynomials, we construct a class of
discrete de la Vallée Poussin means, by approximating the Fourier coefficients with a Gauss …

The present paper concerns filtered de la Vall\'ee Poussin (VP) interpolation at the
Chebyshev nodes of the four kinds. This approximation model is interesting for applications …

Some convergent and stable numerical procedures for Cauchy singular integral equations
are given. The proposed approach consists of solving the regularized equation and is based …

The paper deals with the numerical solution of Cauchy Singular Integral Equations based on
some non standard polynomial quasi–projection of de la Vallée Poussin type. Such kind of …

In the present paper, we propose a numerical method for the simultaneous approximation of
the finite Hilbert and Hadamard transforms of a given function f, supposing to know only the …