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 | |
State | Published - 1 Aug 2015 |
Keywords
- Canonical representations
- Chebyshev-Markov-Stieltjes inequalities
- Christoffel function
- Moment problem
- Orthogonal polynomials
- Quadrature formulas
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
- Numerical Analysis
- General Mathematics