A differential version of the Chebyshev-Markov-Stieltjes inequalities

Shoni Gilboa; Ron Peled

doi:10.1016/j.jat.2015.02.010

A differential version of the Chebyshev-Markov-Stieltjes inequalities

Shoni Gilboa, Ron Peled

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	13-54
Number of pages	42
Journal	Journal of Approximation Theory
Volume	196
DOIs	https://doi.org/10.1016/j.jat.2015.02.010
State	Published - 1 Aug 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Canonical representations
Chebyshev-Markov-Stieltjes inequalities
Christoffel function
Moment problem
Orthogonal polynomials
Quadrature formulas

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10.1016/j.jat.2015.02.010

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abstract = "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.",

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KW - Christoffel function

KW - Moment problem

KW - Orthogonal polynomials

KW - Quadrature formulas

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A differential version of the Chebyshev-Markov-Stieltjes inequalities

Abstract

Bibliographical note

Keywords

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