A differential version of the Chebyshev-Markov-Stieltjes inequalities

JOURNAL OF APPROXIMATION THEORY

卷:196

Article

Gilboa, Shoni¹  Peled, Ron² 

[1] Open Univ Israel, Dept Math, IL-43107 Raanana, Israel

[2] Tel Aviv Univ, Dept Math, IL-69978 Tel Aviv, Israel

关键词: Chebyshev-Markov-Stieltjes inequalities;    Quadrature formulas;    Orthogonal polynomials;    Moment problem;    Christoffel function;    Canonical representations;   

DOI  :  10.1016/j.jat.2015.02.010

来源: Elsevier

【 摘 要 】

We show that a differential version of the classical Chebyshev-Markov-Stieltjes inequalities holds for a broad family of weight functions. Such a differential version appears to be new. Our results apply to weight functions which are bounded away from zero and piecewise absolutely continuous and yield effective estimates when the weight satisfies additional regularity conditions. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free