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 …

[HTML][HTML] Approximation of the Hilbert transform on the half–line

D Occorsio, W Themistoclakis - Applied Numerical Mathematics, 2024 - Elsevier
The paper concerns the weighted Hilbert transform of locally continuous functions on the
semiaxis. By using a filtered de la Vallée Poussin type approximation polynomial recently …

[HTML][HTML] De la Vallée Poussin filtered polynomial approximation on the half–line

D Occorsio, W Themistoclakis - Applied Numerical Mathematics, 2025 - Elsevier
On the half line, we introduce a new sequence of near-best uniform approximation
polynomials, easily computable by the values of the approximated function at a truncated …

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 …

[HTML][HTML] A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces

W Themistoclakis, M Van Barel - Applied Mathematics Letters, 2024 - Elsevier
We are concerned with the uniform approximation of functions of a generic reproducing
kernel Hilbert space (RKHS). In this general context, classical approximations are given by …

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 …

Weighted L1 approximation on [− 1, 1] via discrete de la Vallée Poussin means

W Themistoclakis - Mathematics and Computers in Simulation, 2018 - Elsevier
We consider some discrete approximation polynomials, namely discrete de la Vallée
Poussin means, which have been recently deduced from certain delayed arithmetic means …