
The authors relate the rate of weighted polynomial approximation to some weighted moduli of smoothness for so-called doubling weights. They also consider the problem in a more restrictive sense for generalized Jacobi weights with zeros in the interval of approximation. These zeros constitute a special problem that has not been resolved so far.
Best approximation, Chebyshev systems, Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, Rate of convergence, degree of approximation, doubling weights, moduli of smoothness, Analysis
Best approximation, Chebyshev systems, Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, Rate of convergence, degree of approximation, doubling weights, moduli of smoothness, Analysis
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 32 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
