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Research Article Open access CC BY 4.0

Generalized Euclidean Least Square Approximation

A. S. Oke, S. M. Akintewe, A. G. Akinbande

Asian Journal of Probability and Statistics · pp. 1–10 · Published 29 Aug 2018

10.9734/ajpas/2018/v1i324535

Abstract

A Generalised Euclidean Least Square Approximation (ELS) is derived in this paper. The Generalised Euclidean Least Square Approximation is derived by generalizing the interpolation of n arbitrary data set to approximate functions. Existence and uniqueness of the ELS schemes are shown by establishing the invertibility of the coefficient matrix using condensation method to reduce the matrix. The method is illustrated for exponential function and the results are compared to the classical Maclaurin’s series.

Euclidean space norm interpolation least square approximation

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