4 citations · 6 across the 7 of their papers we have counts for
8 papers · 1 filter
Sharp estimates for the covering numbers of the Weierstrass fractal kernel
K. Gonzalez, D. Azevedo, T. Jordão
In this paper, we present sharp estimates for the covering numbers of the embedding of the reproducing kernel Hilbert space (RKHS) associated with the Weierstrass fractal kernel in…
Sharp estimates for the covering numbers of the Weierstrass fractal kernel
Douglas Azevedo, Karina Gonzalez, Thais Jordão
In this paper, we use the infamous continuous and nowhere differentiable Weierstrass function as a prototype to define a Weierstrass fractal kernel. We investigate the properties o…
Decay of Fourier transforms and generalized Besov spaces
Thaís Jordão
A characterization of the generalized Lipschitz and Besov spaces in terms of decay of Fourier transforms is given. In particular, necessary and sufficient conditions of Titchmarsh…
Kolmogorov widths on the sphere via eigenvalue estimates for Hölderian integral operators
Jordão, T., Menegatto +1
Approximation processes in the reproducing kernel Hilbert space associated to a continuous kernel on the unit sphere in the Euclidean space are known to de…
On approximation tools and its applications on compact homogeneous spaces
A. O. Carrijo, T. Jordão
We prove a characterization for the Peetre type -functional on , a compact two-point homogeneous space, in terms the rate of approximation of a family of multipliers…
Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere
M. H. Castro, T. Jordão, A. P. Peron
This paper brings results about the behavior of sequences of eigenvalues or singular values of integral operators generated by square-integrable kernels on the real m-dimensional u…
Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere
Thaís Jordão, Valdir A. Menegatto
We provide estimates for weighted Fourier sums of integrable functions defined on the sphere when the weights originate from a multiplier operator acting on the space where the fun…
Jackson kernels: a tool for analyzing the decay of eigenvalue sequences of integral operators on the sphere
Thaís Jordão, Valdir A. Manegatto
Decay rates for the sequence of eigenvalues of positive and compact integral operators has been largely investigated for a long time in the literature. In this paper, the focus wil…