Computation of Best Monotone Approximations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1972Publisher:JSTORJournal:Mathematics of Computation, volume 26, page 737 (issn: 0025-5718,

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Authors: Lewis, James T.;

doi: 10.2307/2005101 , 10.1090/s0025-5718-1972-0329199-3

Computation of Best Monotone Approximations

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Abstract

A numerical procedure to compute the best uniform approximation to a given continuous function by algebraic polynomials with nonnegative r r th derivative is presented and analyzed. The method is based on discretization and linear programming. Several numerical experiments are discussed.

Keywords

Best approximation, Chebyshev systems, Numerical smoothing, curve fitting

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