Abstract
We consider Dirichlet series on convex polygons and their rate of approximation in AC(D̄). We show that the substitution of the respective Leont'ev coefficients by appropriate interpolating sums preserves the order of approximation up to a factor ln n. The estimates are given for moduli of smoothness of arbitrary order. This extends a result of Yu. I. Mel'nik in [4].
| Original language | English |
|---|---|
| Pages (from-to) | 123-133 |
| Number of pages | 11 |
| Journal | Journal of Computational Analysis and Applications |
| Volume | 7 |
| Issue number | 2 |
| State | Published - 2005 |
Keywords
- Degree of approximation
- Dirichlet series
- Quadrature