Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 3, pp. 265-273 (2006)

Weighted (0,1,3)-interpolation on an arbitrary set of nodes

Pankaj Mathur

Lucknow University

Abstract: J. Balázs [2] considered the problem of modified weighted (0,2)-interpolation on a general set of nodes by removing the weighted second derivative at one of the end points and prescribing first derivative at that point. In this paper (following the suggestion of Prof. A. Sharma) I have studied the case of (0,1,3)-interpolation on a general set of nodes, when the condition of weighted third derivative has been replaced at both the end points by the second derivative at those point.

Keywords: Weight Function, interpolation.

Classification (MSC2000): 41A05

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