We introduce a class of polynomials orthogonal on some radial rays in the complex plane and investigate their existence and uniqueness. A recurrence relation for these polynomials, a representation, and the connection with standard Ž . polynomials orthogonal on 0, 1 are derived. It is shown that the
Density of polynomials in some spaces on radial rays in the complex plane
✍ Scribed by F. Marcellán; S.M. Zagorodnyuk
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 296 KB
- Volume
- 435
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We deal with the following problem. Let IL be a suitable finite linear space embedded in a Pappian plane $ and suppose that iL is embeddable in a finite projective plane x' of order n. It is true that a finite subplane rt of P isomorphic to A' containing iL exists?
## Abstract The paper focuses at the estimates for the rate of convergence of the __q__ ‐Bernstein polynomials (0 < __q__ < 1) in the complex plane. In particular, a generalization of previously known results on the possibility of analytic continuation of the limit function and an elaboration of th