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Interlacing properties of the zeros of the error functions in best Lp-approximations

  • Published:1979-09 Issue:1 Volume:27 Page:1-18
  • ISSN:0021-9045
  • Container-title:Journal of Approximation Theory
  • language:en
  • Short-container-title:Journal of Approximation Theory

Author:

Pinkus Allan,Ziegler Zvi

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference15 articles.

1. Polynomials of extremal Lp-norm on the L∞-unit sphere;Amir;J. Approximation Theory,1976

2. Uber die Nullstellen geweisser extremaler Polynome;Atkinson;Arch. Math.,1952

3. On polynomials with least weighted maximum;Atkinson,1956

4. Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme;Gantmacher,1960

5. Tchebycheff Systems: With Applications in Analysis and Statistics;Karlin,1966

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1. "Homogeneous" second order differential equation: zeros separation principles;Studia Universitatis Babes-Bolyai Matematica;2018-06-17

2. Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and Lq-minimal polynomials, q∈[1,∞];Journal of Approximation Theory;2009-09

3. A note on best selection of quasi Descartes systems;Journal of Numerical Analysis and Approximation Theory;2009-08-01

4. Zero distribution of Müntz extremal polynomials in _{}[0,1];Proceedings of the American Mathematical Society;2006-08-04

5. On the Bernstein Constants of Polynomial Approximation;Constructive Approximation;2006-04-28
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