Mixed Type (0, 1,3)-Interpolation on Unit Circle

Author & Affiliation:
K.K. MATHUR
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007 (INDIA)
S. BAHADUR
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007 (INDIA)
Keyword:
Interpolation , on Unit Circle
Issue Date:
August 2010
Abstract:

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.

Pages:
369-374
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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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, 2018

Copy 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, 2018

Available from: https://www.ultrascientist.org/paper/980/

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