Estimates for entropy numbers of multiplier operators of multiple series
J Milaré, SA Tozoni - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
The asymptotic behavior for entropy numbers of general Fourier multiplier operators of
multiple series with respect to an abstract complete orthonormal system {ϕ m} m∈ N 0 d on …
multiple series with respect to an abstract complete orthonormal system {ϕ m} m∈ N 0 d on …
Optimal recovery and volume estimates
A Kushpel - Journal of Complexity, 2023 - Elsevier
We study volumes of sections of convex origin-symmetric bodies in R n induced by
orthonormal systems on probability spaces. The approach is based on volume estimates of …
orthonormal systems on probability spaces. The approach is based on volume estimates of …
Lower bounds of cowidths and widths of multiplier operators
A Kushpel - Journal of Complexity, 2022 - Elsevier
The main objective of this article is to present new results on optimal reconstruction of
function classes on probability spaces (Ω, A, ν) in the standard L q spaces. We consider the …
function classes on probability spaces (Ω, A, ν) in the standard L q spaces. We consider the …
[HTML][HTML] Estimates for entropy numbers of sets of smooth functions on the torus Td
RLB Stabile, SA Tozoni - Journal of Approximation Theory, 2018 - Elsevier
In this paper, we investigate entropy numbers of multiplier operators Λ={λ k} k∈ Z d and
Λ∗={λ k∗} k∈ Z d, Λ, Λ∗: L p (T d)→ L q (T d) on the d-dimensional torus T d, where λ k= λ …
Λ∗={λ k∗} k∈ Z d, Λ, Λ∗: L p (T d)→ L q (T d) on the d-dimensional torus T d, where λ k= λ …
The radii of sections of origin-symmetric convex bodies and their applications
Let V and W be any convex and origin-symmetric bodies in R n. Assume that for some A∈
LR n→ R n, det A≠ 0, V is contained in the ellipsoid A− 1 B 2 n, where B 2 n is the unit …
LR n→ R n, det A≠ 0, V is contained in the ellipsoid A− 1 B 2 n, where B 2 n is the unit …
[HTML][HTML] Estimates for n-widths of multiplier operators of multiple Walsh series
SA Tozoni - Journal of mathematical analysis and applications, 2019 - Elsevier
Abstract Estimates for Kolmogorov and Gelfand n-widths of multiplier operators of multiple
Walsh series are obtained. Upper and lower bounds are established for n-widths of general …
Walsh series are obtained. Upper and lower bounds are established for n-widths of general …
Volume estimates and their applications in the problem of optimal recovery
A Kushpel - arXiv preprint arXiv:2212.03834, 2022 - arxiv.org
We study volumes of sections of convex origin-symmetric bodies in $\mathbb {R}%^{n} $
induced by orthonormal systems on probability spaces. The approach is based on volume …
induced by orthonormal systems on probability spaces. The approach is based on volume …
Estimates for n-widths of sets of smooth functions on complex spheres
DJJ Aleans, SA Tozoni - Journal of Complexity, 2021 - Elsevier
In this work we investigate n-widths of multiplier operators Λ∗ and Λ, defined for functions on
the complex sphere Ω d of ℂ d, associated with sequences of multipliers of the type {λ m, n∗} …
the complex sphere Ω d of ℂ d, associated with sequences of multipliers of the type {λ m, n∗} …
Optimal Approximation by -Splines on the Torus
JG Oliveira, SA Tozoni - arXiv preprint arXiv:1804.03106, 2018 - arxiv.org
Fixed a continuous kernel K on the $ d $-dimensional torus, we consider a generalization of
the univariate $ sk $-spline to the torus, associated with the kernel K. It is proved an estimate …
the univariate $ sk $-spline to the torus, associated with the kernel K. It is proved an estimate …
Derivative pricing in lévy driven models
A Kushpel - 2015 - figshare.le.ac.uk
We consider an important class of derivative contracts written on multiple assets which are
traded on a wide range of financial markets. More specifically, we are interested in …
traded on a wide range of financial markets. More specifically, we are interested in …