44 2033180199
All submissions of the EM system will be redirected to Online Manuscript Submission System. Authors are requested to submit articles directly to Online Manuscript Submission System of respective journal.
Journal of Pure and Applied Mathematics

Sign up for email alert when new content gets added: Sign up

Evaluation of Chebyshev Interpolation and Weierstrass Approximation

Author(s): Alexander Ramm*

How does one evaluate a Chebyshev interpolant? One good approach, involving O(n log n) work for a single point evaluation, is to compute Chebyshev coefficients and use the Chebyshev series. However, there is a direct method requiring just O(n) work, not based on the series expansion, that is both elegant and numerically stable. It also has the advantage of generalizing to sets of points other than Chebyshev. It is called the barycentric interpolation formula, introduced by Salzer, with an earlier closely related formula due to Marcel Riesz.

Full-Text | PDF