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


Affiliations
1 Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
     

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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].

Keywords

Lagrange Interpolation, Ultraspherical Polynomials, Fundamental Polynomials, Explicit Form, Order of Convergence.
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  • 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, India
Yamini Singh
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India

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].

Keywords


Lagrange Interpolation, Ultraspherical Polynomials, Fundamental Polynomials, Explicit Form, Order of Convergence.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F25454