• CONVERGENCE OF LAGRANGE-HERMITE INTERPOLATION ON UNIT CIRCLE

SWARNIMA BAHADUR*, VARUN 2

Abstract


The aim of this paper is to study a Lagrange-Hermite interpolation on the nodes, which are obtained by projecting vertically the zeroes of the on the unit circle, where stands for Legendre polynomial. We prove the regularity of the problem, give explicit forms and establish a convergence theorem for the same.


Keywords


Legendre polynomial, Explicit representation, Convergence.

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