On the non-existence of some interpolatory polynomials
Here we prove that if xk, k=1,2,…,n+2 are the zeros of (1−x2)Tn(x) where Tn(x) is the Tchebycheff polynomial of first kind of degree n, αj, βj, j=1,2,…,n+2 and γj, j=1,2,…,n+1 are any real numbers there does not exist a unique polynomial Q3n+3(x) of degree ≤3n+3 satisfying the conditions: Q3n+3(xj)=...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128600090X |