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M.Tech / M.E / PhD Thesis | Mathematics | India | Volume 4 Issue 10, October 2015

A New Kind of Weighted (0;0,2) Interpolation on Laguerre Polynomial

Rekha Srivastava ^[2] | Geeta Vishwakarma ^[2]

Abstract: In this paper we consider a special problem of mixed type (0, 0, 2) interpolationon on the two sets of the nodes of Laguerre polynomial in which one set consists of the nodes of L_n^k (x) while the other are nodes of L_n^ (k-1) (x). We prove the existence, uniqueness and explicit representation of fundamental polynomials on infinite interval.

Keywords: lacunary interpolation, Pl - Type interpolation, Laguerre Polynomial, Birkoff quadrature formula

Edition: Volume 4 Issue 10, October 2015,

Pages: 850 - 853