Shepard operators of Birkhoff-type
β Scribed by Gheorghe Coman
- Publisher
- Springer Milan
- Year
- 1998
- Tongue
- English
- Weight
- 47 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0008-0624
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
After establishing direct and converse approximation theorems for the Shepard interpolatory operators, J. Szabados (Approx. Theory Appl. 7, No. 3, 1991, 63 76) left some open saturation problems (``the most intriguing questions'' as he said), which he raised as three conjectures. The present paper p
The weighted uniform convergence of the Bala zs Shepard operator is considered on the real line. As a consequence of the main result, it is proved that for a wide class of weights, rational functions are always dense in the space of continuous functions, in contrast to the polynomials where the Akhi
We discuss an explicit example of a map of the plane R 2 with a nontrivial attracting set. In particular, we are concerned with the concept of rotation number introduced by Poincar6 for maps of the circle and its subsequent extension by Birkhoff to maps of the annulus. The use of rotation number all