Abstract
In this research article, we brought into consideration the set of non-uniformly distributed nodes on the unit circle to investigate a Lagrange-Hermite interpolation problem. These nodes are obtained by projecting vertically the zeros of Jacobi polynomial onto the unit circle along with the boundary points of the unit circle on the real line. Explicitly representing the interpolatory polynomial as well as establishment of convergence theorem are the key highlights of this manuscript. The result proved are of interest to approximation theory.
Recommended Citation
Bahadur, Swarnima; Iqram, Sameera; and ., Varun
(2023).
(R2054) Convergence of Lagrange-Hermite Interpolation using Non-uniform Nodes on the Unit Circle,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 18,
Iss.
2, Article 12.
Available at:
https://digitalcommons.pvamu.edu/aam/vol18/iss2/12