A statistical approach for economization of the polynomial functions

Authors: Masjed-Jamei, M.¹; Eslahchi, M. R.²; Dehghan, Mehdi²

Source: International Journal of Computer Mathematics, Volume 83, Numbers 5-6, -6/May-June 2006 , pp. 511-523(13)

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Abstract:

<p>Due to having the minimax property, Chebyshev polynomials are used today to economize the arbitrary polynomial functions. In this work, we present a statistical approach to show that, contrary to current thought, the Chebyshev polynomials of the first kind are not appropriate for economizing these polynomials if one uses this statistical approach. In this way, a numerical results section is also given to clearly prove our claim.</p>

Keywords: Polynomial function economization; First and second kind Chebyshev polynomials; Polynomial approximation; Probability value

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207160601025607

Affiliations: 1: Department of Mathematics, K. N. Toosi University of Technology, Sayed Khandan, Jolfa Avenue, Tehran, Iran 2: Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424 Hafez Avenue, Tehran, Iran

Publication date: 2006-05-01

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