期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 270 ()
Analysis of functions on combinatorial graphs is an emerging field attracting more and more attention. In this paper, we study the approximation of fu......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 266 ()
The constrained covariance (COCO) has been proposed for measuring dependence between random vectors. Kernel cross-covariance operators on reproducing ......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 263 ()
In this paper, we discuss the compressed data separation problem. In order to reconstruct the distinct subcomponents, which are sparse in morphologica......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 263 ()
Information theoretic learning is a learning paradigm that uses concepts of entropies and divergences from information theory. A variety of signal pro......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 269 ()
A distribution estimate for the representing measures of Dunkl's intertwining operator is proved, by which some lower estimates sharper in some senses......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 263 ()
In this paper, we study the distributed learning algorithm and the distribution regression problem of coefficient regularization for Mercer kernels. B......
期刊： JOURNAL OF APPROXIMATION THEORY, 2021; 261 ()
In this paper we will study the harmonic analysis of a class of Cantor-Moran measures mu with three-element digit sets on R. Our results give some suf......
期刊： JOURNAL OF APPROXIMATION THEORY, 2020; 256 ()
For weighted L-2 spaces with doubling weights w on [-1, 1] and norms parallel to . parallel to(2, w), the Markov factor on a polynomial P is defined b......
期刊： JOURNAL OF APPROXIMATION THEORY, 2020; 258 ()
Let S(R-n) be the Schwartz class on R-n and S-infinity(R-n) := {f is an element of S(R-n) : integral R-n x(alpha)phi(x) dx = 0 for any multi-index a i......
期刊： JOURNAL OF APPROXIMATION THEORY, 2020; 252 ()
We derive a formula for weighted polynomial least squares approximation which expresses the approximant as a convex combination of interpolants. There......
期刊： JOURNAL OF APPROXIMATION THEORY, 2019; 239 ()
We establish a Wiman-Valiron theory for a polynomial series based on the Wilson operator D-W. For an entire function f of order smaller than 1/3, this......
期刊： JOURNAL OF APPROXIMATION THEORY, 2019; 239 ()
We consider d-variate approximation problems in the average case setting in the weighted L-2 space with the standard Gaussian weight. This space is eq......
期刊： JOURNAL OF APPROXIMATION THEORY, 2019; 239 ()
This paper aims to develop a simple and unified technique in finding asymptotic expansion of orthogonal polynomials from their difference equations. B......
期刊： JOURNAL OF APPROXIMATION THEORY, 2019; 240 ()
We consider random sampling in finitely generated shift-invariant spaces V(Phi) subset of L-2(R-n) generated by a vector Phi = (phi(1,...,)phi(r)) is ......
期刊： JOURNAL OF APPROXIMATION THEORY, 2019; 241 ()
Let E-n(f)(alpha,beta,gamma) denote the error of best approximation by polynomials of degree at most n in the space L-2 ((omega) over bar (alpha,beta,......
