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A COMPARATIVE STUDY ON g-SPLINES OF (0, 1, 2, 5)-LPI

机译:A COMPARATIVE STUDY ON g-SPLINES OF (0, 1, 2, 5)-LPI

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摘要

The prime purpose of this paper is to compare error bounds of quintic and sixtic gsplines of (0, 1, 2, 5) type Lacunary Polynomial Interpolation problem. We termed Lacunary Polynomial Interpolation as LPI. We proved existence and uniqueness of quintic and sixtic g-splines. In this paper, authors compare their error bounds with sixtic g-spline whose, fifth derivative interpolates to the fifth derivative of the function at the points ζi=mx_i +(1 - m)x_(i_1) and η_i=lx_i +(1 - l)x_(i-1), where i=1, 2, ..., n and 0 ≤ m < l ≤ 1, be the given real numbers.

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