M. Lachance, E. B. Saff and R. S. Varga, Bounds for incomplete polynomials vanishing at both endpoints of an interval. In "Constructive approaches to Mathematical Models", pp. 421-437, Academic Press, New York, 1979.  Home/Search   Document Not in Database   Summary   Related Articles

....norms of both (3.5) and (3.7) on [0; 1=4] cannot be attained at the endpoints. Furthermore, if u 0 and v 0 then these uniform norms live on an interval [a; b] ae (0; 1=4) This type of problem for the Jacobi weights (see Example IV.1.17 in [16, p. 206] has first been considered in [13] [11] and [17] where the sharp values for a and b were found. We follow the modern and general approach to the problem via the weighted potential theory, described in [16] For [a; b] ae R, let Omega : Cn[a; b] and let g Omega (z; p) be the Green function of Omega with pole at p 2 Omega (cf. ....

M. Lachance, E. B. Saff and R. S. Varga, Bounds for incomplete polynomials vanishing at both endpoints of an interval. In "Constructive approaches to Mathematical Models", pp. 421-437, Academic Press, New York, 1979.

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