125513803
Location of zeros of infrapolynomials
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117822564
Underpolynomials and infrapolynomials
124033029
The location of the zeros of the derivative of a rational function, revisited
122712353
LEAST P-TH POWER POLYNOMIALS ON A REAL FINITE POINT SET
119998985
On the derivative of a polynomial and Chebyshev approximation
Introduction. The location of the zeros of the derivative of a polynomial has been much studied, as has the location of the zeros of the Chebys;hev polynomial. In ?1 of the present note we set forth in a direct and elementary manner the equivalence of these two problems in a suitably specialized situation. This conclusion is mentioned (for integral 'i) with an indication of the proof by Fekete and von Neumann [4],2 and the conclusion is related to a much deeper investigation due to Fekete [3]. We obtain (?9) some new results on zeros of approximating polynomials and (??2, 3, 8) on the argument of the deviation. In ?10 we consider approximation by an arbitrary linear family. Throughout the paper we study primarily approximation on a set of n points by a polynomial of degree n-2. In ??4-7 weight functions with infinities and Chebyshev rational functions are introduced.
121117321
Zeros of the Error Function for Tchebycheff Approximation in a Small Region
Abstract : It is shown that for a given analytic funtion and a suitably restricted point set in a neighborhood of a given point there are at least n + 1 zeros of the error function near the point set. (Author)
122697689
Finite-difference and finite-element methods of approximation
The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.
117015916
Numerical analysis : an introduction : based on a symposium organized by the Institute of Mathematics and Its Applications, Birmingham, England, 1965