Lagrange–Chebyshev Interpolation for image resizing

D Occorsio, G Ramella, W Themistoclakis - Mathematics and Computers in …, 2022 - Elsevier
Image resizing is a basic tool in image processing, and in literature, we have many methods
based on different approaches, which are often specialized in only upscaling or …

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 …

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 …

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] …

Exploring Chebyshev Polynomial Approximations: Error Estimates for Functions of Bounded Variation

S Akansha - arXiv preprint arXiv:2404.18723, 2024 - arxiv.org
Approximation theory plays a central role in numerical analysis, undergoing continuous
evolution through a spectrum of methodologies. Notably, Lebesgue, Weierstrass, Fourier …