A (0;0,2) Interpolation Method to Approximate Functions via Ultraspherical Polynomials

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Authors

  • R. Srivastava
     Department of Mathematics and Astronomy, University of Lucknow, Lucknow ,IN
  • Yamini Singh
     Department of Mathematics and Astronomy, University of Lucknow, Lucknow ,IN

DOI:

https://doi.org/10.18311/jims/2020/25454

Keywords:

Lagrange interpolation, Ultraspherical polynomials, Fundamental polynomials, Explicit form, Order of convergence

Abstract

The object of this paper is to demonstrate the existence, explicit characterization and estimation of the polynomial interpolation, related to the weighted (0;0,2) interpolation which satisfies the boundary conditions together with the interpolation conditions at the interval [−1, 1].

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Published

2020-07-01

How to Cite

Srivastava, R., & Singh, Y. (2020). A (0;0,2) Interpolation Method to Approximate Functions via Ultraspherical Polynomials. The Journal of the Indian Mathematical Society, 87(3-4), 276–288. https://doi.org/10.18311/jims/2020/25454

Issue

Volume 87, Issue 3-4, July-December 2020

Section

Articles

License

Copyright (c) 2020 R. Srivastava, Yamini Singh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-06-07
Accepted 2023-01-30
Published 2020-07-01

 

References

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R. Srivastava and Yamini Singh, An Interpolation Process on the Roots of Ultraspherical Polynomials, Applications and Applied Mathematics, 13. (2)(2018), 1132-1141.

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