A characterization of the four Chebyshev orthogonal families
We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear combinations, with fixed length and constant c...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2071 |
| Summary: | We obtain a property which characterizes the Chebyshev
orthogonal polynomials of first, second, third, and fourth kind.
Indeed, we prove that the four Chebyshev sequences are the unique
classical orthogonal polynomial families such that their
linear combinations, with fixed length and constant coefficients, can be orthogonal polynomial
sequences. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |