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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2018 (2018), Article ID 1

Weighted (0;0,2)-interpolation on the unit circle

Swarnima Bahadur, Sariya Bano

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Abstract

In this paper, we study the explicit representation of Pál-type weighted (0;0,2)-interpolation on the unit circle on two pairwise disjoint sets of nodes obtained by projecting vertically the zeros of (1−x^2)P_n (x) and (1−x^2)P’’_n (x) respectively onto the unit circle, where P_n (x) stands for nth Legendre polynomial.

Published
5 December 2017
Volume
2018 (2018)
License
CC BY 3.0

Copyright © 2017 Swarnima Bahadur, Sariya Bano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. Bahadur, S. Bano, Weighted (0;0,2)-interpolation on the unit circle, Adv. Inequal. Appl. 2018 (2018), 1.

BibTeX
@article{Bahadur2018,
  author  = {Bahadur, Swarnima and Bano, Sariya},
  title   = {Weighted (0;0,2)-interpolation on the unit circle},
  journal = {Adv. Inequal. Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {1},
  doi     = {}
}