Image scaling by de la vallée-poussin filtered interpolation

D Occorsio, G Ramella, W Themistoclakis - Journal of Mathematical …, 2023 - Springer
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 …

Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes

D Occorsio, W Themistoclakis - Applied Mathematics and Computation, 2020 - Elsevier
The paper deals with de la Vallée Poussin type interpolation on the square at tensor product
Chebyshev zeros of the first kind. The approximation is studied in the space of locally …

Filtered interpolation for solving Prandtl's integro-differential equations

MC De Bonis, D Occorsio, W Themistoclakis - Numerical Algorithms, 2021 - Springer
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 …

On the filtered polynomial interpolation at Chebyshev nodes

D Occorsio, W Themistoclakis - Applied Numerical Mathematics, 2021 - Elsevier
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 …

Some remarks on filtered polynomial interpolation at Chebyshev nodes

D Occorsio, W Themistoclakis - arXiv preprint arXiv:2101.04551, 2021 - arxiv.org
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 …

[HTML][HTML] On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation

D Occorsio, MG Russo, W Themistoclakis - Applied Numerical Mathematics, 2024 - Elsevier
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 …

Filtered integration rules for finite weighted Hilbert transforms

D Occorsio, MG Russo, W Themistoclakis - Journal of Computational and …, 2022 - Elsevier
A product quadrature rule, based on the filtered de la Vallée Poussin polynomial
approximation, is proposed for evaluating the finite weighted Hilbert transform in [− 1, 1] …

Uniform weighted approximation by multivariate filtered polynomials

D Occorsio, W Themistoclakis - International conference on numerical …, 2019 - Springer
The paper concerns the weighted uniform approximation of a real function on the d-cube-1,
1^ d, with d> 1, by means of some multivariate filtered polynomials. These polynomials have …

Filtered integration rules for finite Hilbert transforms

D Occorsio, MG Russo, W Themistoclakis - arXiv preprint arXiv …, 2021 - arxiv.org
A product quadrature rule, based on the filtered de la Vall\'ee Poussin polynomial
approximation, is proposed for evaluating the finite Hilbert transform in [-1; 1]. Convergence …

Filtered integration rules for finite weighted Hilbert transforms II

D Occorsio, MG Russo, W Themistoclakis - Dolomites Research Notes …, 2022 - iris.unibas.it
This paper is the continuation of a previous work where the authors have introduced a new
class of quadrature rules for evaluating the finite Hilbert transform. Such rules are product …