Let
zo = 1, z2n+1 = - 1, zk = cos ¢k + i sin ¢k
z n+k =zk k = 1(1) n
be the vertical projections on unit circle of the zeros of (1-x2) Pn (x), where Pn (x) stands for nth Legendre polynomial having zeros xk = cos ¢k, k = 1(1) n such that 1 > x1 > … > xn > - 1. In this paper, we obtain regularity, explicit representation and convergence of mixed type (0, 1, 3)-interpolation on unit circle.
Copy the following to cite this article:
K. Mathur; S. Bahadur, "Mixed Type (0, 1,3)-Interpolation on Unit Circle", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 369-374, 2018Copy the following to cite this URL:
K. Mathur; S. Bahadur, "Mixed Type (0, 1,3)-Interpolation on Unit Circle", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 369-374, 2018Available from: https://www.ultrascientist.org/paper/980/