On the search of the shape parameter in radial basis functions using univariate global optimization methods
In this paper we consider the problem of finding an optimal value of the shape parameter in
radial basis function interpolation. In particular, we propose the use of a leave-one-out cross …
radial basis function interpolation. In particular, we propose the use of a leave-one-out cross …
Detection of thermal bridges from thermographic images by means of image processing approximation algorithms
In this paper, we develop a procedure for the detection of the contours of thermal bridges
from thermographic images, in order to study the energy performance of buildings. Two main …
from thermographic images, in order to study the energy performance of buildings. Two main …
[HTML][HTML] Inverse results of approximation and the saturation order for the sampling Kantorovich series
D Costarelli, G Vinti - Journal of Approximation Theory, 2019 - Elsevier
In the present paper, we study the saturation order for the sampling Kantorovich series in the
space of uniformly continuous and bounded functions. In order to achieve the above result …
space of uniformly continuous and bounded functions. In order to achieve the above result …
Linear prediction and simultaneous approximation by m-th order Kantorovich type sampling series
In the present paper, a new family of sampling type operators is introduced and studied. By
the composition of the well-known generalized sampling operators of PL Butzer with the …
the composition of the well-known generalized sampling operators of PL Butzer with the …
Convergence results for nonlinear sampling Kantorovich operators in modular spaces
In the present paper, convergence in modular spaces is investigated for a class of nonlinear
discrete operators, namely the nonlinear multivariate sampling Kantorovich operators. The …
discrete operators, namely the nonlinear multivariate sampling Kantorovich operators. The …
B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
P Roul, VMKP Goura - Applied Mathematics and Computation, 2019 - Elsevier
This paper is concerned with the construction and convergence analysis of two B-spline
collocation methods for a class of nonlinear derivative dependent singular boundary value …
collocation methods for a class of nonlinear derivative dependent singular boundary value …
An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
Kernel-based approximation methods—often in the form of radial basis functions—have
been used for many years now and usually involve setting up a kernel matrix which may be …
been used for many years now and usually involve setting up a kernel matrix which may be …
The max-product generalized sampling operators: convergence and quantitative estimates
In this paper we study the max-product version of the generalized sampling operators based
upon a general kernel function. In particular, we prove pointwise and uniform convergence …
upon a general kernel function. In particular, we prove pointwise and uniform convergence …
A quantitative estimate for the sampling Kantorovich series in terms of the modulus of continuity in Orlicz spaces
D Costarellı, G Vıntı - Constructive Mathematical Analysis, 2019 - dergipark.org.tr
In the present paper we establish a quantitative estimate for the sampling Kantorovich
operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the …
operators with respect to the modulus of continuity in Orlicz spaces defined in terms of the …
A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators
We study the convergence in variation for the sampling Kantorovich operators in both the
cases of averaged-type kernels and classical band-limited kernels. In the first case, a …
cases of averaged-type kernels and classical band-limited kernels. In the first case, a …