Creating interpolating polynomial on the unit circle by projecting the zeros of certain polynomials vertically on the unit circle as well as reading their convergence behaviour for the functions analytic inside the unit circle can how be seen for the application part in the real life.
Where such type of interpolation can be applied to view a much wider perspective to such type of research problems.
Hi, when working on the unit circle I think it would be better to work with coordinates (cos(theta),sin(theta)) and consider a polynomial in variable theta.
Thanku sir(@Richard Epenoy) for a response. Working with uniform nodes (i.e. fixed theta), where one can find its use . How can we relate real life problem analysation with the complex interpolatory polynomial. Can you recommend some research articles or books where this kind of approach has been used to read or work with data and find useful results using the complex interpolatory polynomial.
Varun ..,
Thought you might like this book:
https://drive.google.com/file/d/18Xxc18DgLqC4BHU1PRH9mwqPvl0B2B0z/view?usp=sharing
Best
see
Orthogonality, interpolation and quadratures on the unit circle and the interval
Ruymán Cruz-Barroso, Pablo González-Vera, Francisco Perdomo-PíoJournal:Journal of Computational and Applied MathematicsYear:2010
- Badges
- Science topic
- Similar topics
- Condensed Matter Physics
- Zero