polynomial interpolation sentence in Hindi

Examples

1. However, polynomial interpolation also has some disadvantages.
2. We conclude again that Chebyshev nodes are a very good choice for polynomial interpolation.
3. So, we see that polynomial interpolation overcomes most of the problems of linear interpolation.
4. It is a special case of polynomial interpolation with " n " = 1.
5. This consisted of algebra with numerical methods, polynomial interpolation and its applications, and indeterminate integer equations.
6. Additionally, the interpolating polynomial is unique, as shown by the unisolvence theorem at the polynomial interpolation article.
7. Polynomial interpolation can estimate local maxima and minima that are outside the range of the samples, unlike linear interpolation.
8. The Chebyshev nodes are important in approximation theory because they form a particularly good set of nodes for polynomial interpolation.
9. Furthermore, polynomial interpolation may exhibit oscillatory artifacts, especially at the end points ( see Runge's phenomenon ).
10. This can be seen as a form of polynomial interpolation with harmonic base functions, see trigonometric interpolation and trigonometric polynomial.