期刊： CONSTRUCTIVE APPROXIMATION, 2021; 53 (3)
Gaussians are a family of Mercer kernels which are widely used in machine learning and statistics. The variance of a Gaussian kernel reflexes the spec......
期刊： CONSTRUCTIVE APPROXIMATION, ; ()
We establish a Wiman-Valiron theory of a polynomial series based on the AskeyWilson operator D-q, where q is an element of (0, 1). For an entire funct......
期刊： CONSTRUCTIVE APPROXIMATION, 2020; 52 (3)
We establish analogues of the Hermite-Poulain theorem for linear finite difference operators with constant coefficients defined on sets of polynomials......
期刊： CONSTRUCTIVE APPROXIMATION, 2020; 51 (3)
It is shown that if f (z + 1)n = R(z, f), where R(z, f) is rational in f with meromorphic coefficients and deg f ( R(z, f)) = n, has an admissible mer......
期刊： CONSTRUCTIVE APPROXIMATION, 2020; 52 (3)
Let (X, rho, mu) be a space of homogeneous type. Suppose that p(center dot), q(center dot) : chi -> (0, infinity] are such that both 1/ p(center do......
期刊： CONSTRUCTIVE APPROXIMATION, 2020; 51 (2)
In this paper, the authors present sharp approximations in terms of sine function and polynomials for the so-called Ramanujan constant (or the Ramanuj......
期刊： CONSTRUCTIVE APPROXIMATION, 2019; 50 (2)
In this paper, we study the restrictions of both the harmonic functions and the eigenfunctions of the symmetric Laplacian to edges of pre-gaskets cont......
期刊： CONSTRUCTIVE APPROXIMATION, 2019; 50 (2)
An infinite-dimensional representation of the double affine Hecke algebra of rank 1 and type (C-1(boolean OR), C1) in which all generators are tridiag......
期刊： CONSTRUCTIVE APPROXIMATION, 2018; 48 (3)
We obtain several estimates for the L-p operator norms of the Bergman and Cauchy-Szego projections over the the Siegel upper half-space. As a by-produ......
期刊： CONSTRUCTIVE APPROXIMATION, 2018; 47 (2)
We study the generalization ability of distributed learning equipped with a divide-and-conquer approach and gradient descent algorithm in a reproducin......
期刊： CONSTRUCTIVE APPROXIMATION, 2018; 47 (3)
Consider the product GX of two rectangular complex random matrices coupled by a constant matrix , where G can be thought to be a Gaussian matrix and X......
期刊： CONSTRUCTIVE APPROXIMATION, 2017; 45 (3)
In this paper, we study the convergence of the Bochner-Riesz means on the block-Sobolev spaces. The relation between the smoothness imposed on blocks ......
期刊： CONSTRUCTIVE APPROXIMATION, 2017; 46 (2)
In this paper, we focus on Strichartz's derivatives, a family of derivatives including the normal derivative, on post critically finite fractals, whic......
