A differential version of the Chebyshev–Markov–Stieltjes inequalities

• Shoni Gilboa ^[1] ; Ron Peled ^[2]
  1. [1] Open University of Israel

     Open University of Israel

     Israel

     
  2. [2] Tel-Aviv University, Israel
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 196, Nº 1 (August 2015), 2015, págs. 13-54
• Idioma: inglés
• DOI: 10.1016/j.jat.2015.08.003
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• Resumen

  • 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.