Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Education
An Interpolation Process On The Roots Of Ultraspherical Polynomials, R. Srivastava, Yamini Singh
An Interpolation Process On The Roots Of Ultraspherical Polynomials, R. Srivastava, Yamini Singh
Applications and Applied Mathematics: An International Journal (AAM)
The paper is devoted to studying a Pál-type interpolation problem on the roots of Ultraspherical polynomials of degree n-1 with parameter k+1 on the closed interval -1 to 1. The aim of this paper is to find a unique interpolatory polynomial of degree at most m equal to 2n+2k+1 satisfying the interpolatory conditions that is, function values of the polynomial of degree m at the zeros of the function values of the ultraspherical polynomials and the first derivative values of the polynomial of degree m at the zeros of the first derivative values of the ultraspherical polynomials.We will use the …