Name
Abstract | ||
|---|---|---|
We state some pointwise estimates for the rate of weighted approximation of a continuous function on the semiaxis by polynomials. Furthermore, we derive matching converse results and estimates involving the derivatives of the approximating polynomials. Using weighted @f^@l moduli of continuity, where 0@?@l@?1, we bridge the gap between an old result by Fedorov (1983) [4] based on the ordinary modulus of smoothness, and the recent norm estimates implicating the @f modulus of continuity. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jat.2010.06.002 | Journal of Approximation Theory |
Keywords | Field | DocType |
ordinary modulus,continuous function,pointwise estimate,recent norm,old result,weighted approximation,l modulus,approximating polynomial,converse result,polynomial approximation,modulus of continuity | Continuous function,Converse,Modulus of continuity,Mathematical optimization,Polynomial,Mathematical analysis,Modulus of smoothness,Moduli,Mathematics,Pointwise | Journal |
Volume | Issue | ISSN |
162 | 11 | 0021-9045 |
Citations | PageRank | References |
2 | 0.56 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Mastroianni | 1 | 35 | 10.38 |
| Woula Themistoclakis | 2 | 18 | 6.72 |