A differential version of the Chebyshev-Markov-Stieltjes inequalities

Shoni Gilboa, Ron Peled

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)13-54
Number of pages42
JournalJournal of Approximation Theory
StatePublished - 1 Aug 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.


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


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