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Affine Density, Frame Bounds, and the Admissibility Condition for Wavelet Frames
Springer Science and Business Media LLC - - 2007
Relaxation in Greedy Approximation
Springer Science and Business Media LLC - Tập 28 - Trang 1-25 - 2007
We study greedy algorithms in a Banach space from the point of view of convergence and rate of convergence. There are two well-studied approximation methods: the Weak Chebyshev Greedy Algorithm (WCGA) and the Weak Relaxed Greedy Algorithm (WRGA). The WRGA is simpler than the WCGA in the sense of computational complexity. However, the WRGA has limited applicability. It converges only for elements o...... hiện toàn bộ
Uniform Asymptotic Expansions for Meixner Polynomials
Springer Science and Business Media LLC - Tập 14 - Trang 113-150 - 1997
Meixner polynomials m
n
(x;β,c) form a postive-definite orthogonal system on the positive real line x > 0 with respect to a distribution step function whose jumps are
$j(x;\beta,c) = \frac{c^x(\beta)_x}{x!} \qquad \mbox{at}\quad x=0,1,2\ldots.$ ...... hiện toàn bộ
Plancherel—Rotach Asymptotics for the Charlier Polynomials
Springer Science and Business Media LLC - Tập 14 - Trang 151-168 - 1997
We derive an asymptotic approximation of Plancherel—Rotach type for the Charlier polynomials on the positive real line.
On Smoothness of the Green Function for the Complement of a Rarefied Cantor-Type Set
Springer Science and Business Media LLC - Tập 33 - Trang 265-271 - 2010
Smoothness of the Green functions for the complement of rarefied Cantor-type sets is described in terms of the function
$\varphi (\delta)=(1/\log\frac{1}{\delta})$
that gives the logarithmic measure of sets. Markov’s constants of the corresponding sets are evaluated.
Expansions in Products of Heine—Stieltjes Polynomials
Springer Science and Business Media LLC - Tập 15 - Trang 467-480 - 1999
It is shown that products of polynomials introduced by Heine and Stieltjes form orthogonal bases in suitable function spaces. A theorem on the expansion of analytic function in these bases is proved.
On Approximation of Continuous Functions by Entire Functions on Subsets of the Real Line
Springer Science and Business Media LLC - Tập 32 - Trang 91-130 - 2009
We generalize the classical Bernstein theorem concerning the constructive description of classes of functions uniformly continuous on the real line. Approximation of continuous bounded functions by entire functions of exponential type on unbounded closed proper subsets of the real line is studied.
Discrete Least-Squares Approximations over Optimized Downward Closed Polynomial Spaces in Arbitrary Dimension
Springer Science and Business Media LLC - Tập 45 - Trang 497-519 - 2017
We analyze the accuracy of the discrete least-squares approximation of a function
$$u$$
in multivariate polynomial spaces
$$\mathbb {P}_\varLambda :=\mathrm{span} \{y\m...... hiện toàn bộ
On the Christoffel Function for the Generalized Jacobi Measures on a Quasidisk
Springer Science and Business Media LLC - Tập 47 - Trang 437-452 - 2017
We establish the exact (up to the constants) double inequality for the Christoffel function for a measure supported on a Jordan domain bounded by a quasiconformal curve. We show that this quasiconformality of the boundary cannot be omitted.
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators
Springer Science and Business Media LLC - Tập 57 - Trang 547-577 - 2022
We consider the general framework of a metric measure space satisfying the doubling volume property, associated with a non-negative self-adjoint operator, whose heat kernel enjoys standard Gaussian localization. We study the dual spaces of the classical and nonclassical Besov and Triebel-Lizorkin spaces on this setting. Our results generalize those on Euclidean spaces and are new on several setups...... hiện toàn bộ
Tổng số: 893
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