Shape-Preserving Approximation by Real and Complex Polynomials

Shape-Preserving Approximation by Real and Complex Polynomials

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First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography(4) When s = 0, we have Yo = 0 in the first two estimates and hence the second estimate is just the third One. ... the condition of comonotonicity from the whole interval [-1, 1] to Only a major portion of that interval, one obtains the so-called nearly COmonotone polynomial approximation. ... particular, f a‚n C|a€“1, 1] is called proper piecewise monotone on [-1, 1] (with respect to Y.) if for any 0 alt; e alt; # minia€“ 0..... (yanbsp;...

Title:Shape-Preserving Approximation by Real and Complex Polynomials
Author: Sorin G. Gal
Publisher:Springer Science & Business Media - 2010-06-09

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