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


Affiliations

  • University of Lucknow, Department of Mathematics and Astronomy, 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

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References

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