TITLE

On Stable Local Bases for Bivariate Polynomial Spline Spaces

AUTHOR(S)
Davydov, Oleg; Schumaker, Larry L.
PUB. DATE
January 2002
SOURCE
Constructive Approximation;2002, Vol. 18 Issue 1, p87
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Stable locally supported bases are constructed for the spaces S[SUPr, SUBd] (?) of polynomial splines of degree d = 3r + 2 and smoothness r defined on triangulations ?, as well as for various superspline subspaces. In addition, we show that for r = 1, in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.
ACCESSION #
8871422

 

Related Articles

  • Explicit Generalized Zolotarev Polynomials with Complex Coefficients. Peherstorfer, F. // Constructive Approximation;1997, Vol. 13 Issue 2, p261 

    We give explicitly a class of polynomials with complex coefficients of degree n which deviate least from zero on [-1; 1] with respect to the max-norm among all polynomials which have the same, m + 1, 2m = n, first leading coefficients. For m D 1, we obtain the polynomials discovered by Freund...

  • Explicit Localization Estimates for Spline-Type Spaces. Romero, José Luis // Sampling Theory in Signal & Image Processing;Sep2009, Vol. 8 Issue 3, p249 

    In this article we derive some explicit decay estimates for the dual system of a basis of functions polynomially localized in space.

  • Deduction Systems for Coalgebras Over Measurable Spaces. GOLDBLATT, ROBERT // Journal of Logic & Computation;Oct2010, Vol. 20 Issue 5, p1069 

    A theory of infinitary deduction systems is developed for the modal logic of coalgebras for measurable polynomial functors on the category of measurable spaces. These functors have been shown by Moss and Viglizzo to have final coalgebras that represent certain universal type spaces in...

  • Banach spaces with polynomial numerical index 1.  // Bulletin of the London Mathematical Society;Apr2008, Vol. 40 Issue 2, p193 

    We characterize Banach spaces with polynomial numerical index 1 when they have the Radon–Nikodým property. The holomorphic numerical index is introduced and the characterization of the Banach space with holomorphic numerical index 1 is obtained when it has the Radon–Nikodým...

  • ON A NORMAL FORM FOR NON-WEAKLY SEQUENTIALLY CONTINUOUS POLYNOMIALS ON BANACH SPACES. MAITE FERN�NDEZ-UNZUETA // Bulletin of the London Mathematical Society;Nov2004, Vol. 36 Issue 6, p793 

    Let $p$ be an $m$-homogeneous polynomial on a complex Banach space, and let $(x_n)_n$ be a bounded sequence such that when evaluated in polynomials of degree less than $m$, it converges to zero, but $p(x_n)=1$. It is proved here that there exists...

  • UNIFORM DECAY OF SOLUTIONS TO CAUCHY VISCOELASTIC PROBLEMS WITH DENSITY. KAFINI, MOHAMMAD // Electronic Journal of Differential Equations;2011, Vol. 2011, Special section p1 

    In this article we consider the decay of solutions to a linear Cauchy viscoelastic problem with density. This study includes the exponential and polynomial rates as particular cases. To compensate for the lack of Poincare's inequality in the whole space, we consider the solutions in spaces...

  • Pseudo-q-Appell Polynomials and Various Kinds of q-Stirling Numbers. Ernst, Thomas // AIP Conference Proceedings;9/30/2010, Vol. 1281 Issue 1, p512 

    In previous articles [4], [6] we have introduced q-Appell polynomials of various kinds. In this talk we will present pseudo q-Appell polynomials for the first time. It turns out that the associated q-Bernoulli numbers are the same as the BJHC,ν,q (a kind of q-Appell numbers). As in [4] we...

  • Hermite Polynomials and their Applications Associated with Bernoulli and Euler Numbers. Dae San Kim; Taekyun Kim; Seog-Hoon Rim; Sang Hun Lee // Discrete Dynamics in Nature & Society;2012, Special section p1 

    We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. Let Pn = {p(x) ∈ Q [x] | deg p(x) ≤ n} be the (n + 1)-dimensional vector space over Q. Then we show that {H0(x),H1(x), . . . , Hn(x)} is a...

  • On summability of weighted Lagrange interpolation. I. Szili, L�szl�; V�rtesi, P�ter // Acta Mathematica Hungarica;2003, Vol. 101 Issue 4, p323 

    The paper is devoted to the study of summability of weighted Lagrange interpolation on the roots of orthogonal polynomials with respect to a weight function w. Starting from the Lagrange interpolation polynomials we shall construct a wide class of discrete processes (using summations) which are...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics