We consider the double power series with coefficients a G 0 for all j and k. Among others, we prove exact estimates of jk certain weighted L p -norms of f on the unit square, in terms of the coefficients a . Our results extend those of Askey and Boas, Hardy and Littlewood, Khan, jk Leindler, Matelj
Approximation by Dirichlet Series with Nonnegative Coefficients
✍ Scribed by Yunkang Liu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 104 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In response to a question of R. Kenyon, we prove that the set of polynomials with coefficients \1, evaluated at a fixed real number %, is dense in R for a.e. % # (-2, 2). For % # (1, -2], a more complete result can be obtained by elementary methods.
In this work, for the first time, generalized Faber series for functions in the Bergman space A 2 (G) on finite regions with a quasiconformal boundary are defined, and their convergence on compact subsets of G and with respect to the norm on ), the best approximation to f by polynomials of degree n
The paper studies the degree of approximation of functions associated with Hardy᎐Littlewood series in the Holder metric.