An analysis of (0,1,2;0) polynomial interpolation including interpolation on boundary points of interval [-1,1]

Authors

  • Y. Singh University of Lucknow, India

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.1.11

Keywords:

Lagrange interpolation, ultraspherical polynomials, fundamental polynomials, explicit form, order of convergence

Abstract

In this paper, we survey an interpolation on polynomials with Hermite conditions on the zeros of ultraspherical polynomials at intervals [-1,1]. Our aim is to demonstrate the existence, uniqueness, explicit representation, and convergence theorem of the interpolatory polynomials, which are the zeros of the polynomials Pn(k)(x) and Pn−1(k+1)(x) respectively, where Pn(k)(x) is the ultraspherical polynomial of degree n.

Author Biography

Y. Singh, University of Lucknow, India

Department of Mathematics and Astronomy

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Published

2022-07-06

Issue

Section

MATHEMATICS