Means and nonreal intersection points of Taylor polynomials
Copyright policy )Means and nonreal intersection points of Taylor polynomials
Suppose that f has continuous derivatives thru order r+1 for x>0, and let P_{c} denote the Taylor polynomial to f of order r at x=c,c>0. In a previous paper of the author, it was shown that if r is an odd whole number and the (r+1)st derivative of f is nonzero on [a,b], then there is a unique x_{0},a
29 pages, no figures. Some small modifications, simplifications and corrections
- Pennsylvania State University United States
nonreal roots, One-variable calculus, Taylor polynomial, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, mean, Real polynomials: location of zeros, Means
nonreal roots, One-variable calculus, Taylor polynomial, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, mean, Real polynomials: location of zeros, Means
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