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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	13-54
מספר עמודים	42
כתב עת	Journal of Approximation Theory
כרך	196
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.jat.2015.02.010
סטטוס פרסום	פורסם - 1 אוג׳ 2015

הערה ביבליוגרפית

Publisher Copyright:
© 2015 Elsevier Inc.

גישה למסמך

10.1016/j.jat.2015.02.010

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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.",

keywords = "Canonical representations, Chebyshev-Markov-Stieltjes inequalities, Christoffel function, Moment problem, Orthogonal polynomials, Quadrature formulas",

author = "Shoni Gilboa and Ron Peled",

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AB - 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.

KW - Canonical representations

KW - Chebyshev-Markov-Stieltjes inequalities

KW - Christoffel function

KW - Moment problem

KW - Orthogonal polynomials

KW - Quadrature formulas

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JF - Journal of Approximation Theory

ER -

A differential version of the Chebyshev-Markov-Stieltjes inequalities

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