E. B. Saff, J. L. Ullman, and R. S. Varga, Incomplete polynomials: an electrostatics approach, in Approximation theory, III (Proc. Conf., Univ. Texas, Austin, Tex.,  Home/Search Document Not in Database Summary Related Articles Check |
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Chebyshev Polynomials With Integer Coefficients - Pritsker (Correct)
....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. 18, p. ....
E. B. Saff, J. L. Ullman and R. S. Varga, Incomplete polynomials: An electrostatics approach. In "Approximation Theory III", pp. 769-782, Academic Press, San Diego, 1980.
Asymptotic Properties Of Heine-Stieltjes And Van Vleck.. - Martínez, Saff Self-citation (Saff) (Correct)
....# #d#(x) # I # ( # ) wher # is given by (2.2) Taking now # # 0 we see that I # (#) # I # ( # ) Fr om the uniqueness of theextr37: measur # it follows that # = # andweget (2.16) This fact will help us indescrvS3W theequilibr3W measur # . Indeed, we can use an idea fra [20]:r0] v36 thedi#er7 tial equation (1.1) in ter7 of the function h = E # E,weget A(x) # h 2 (x) h # (x) # Bn (x)h(x) Cn (x) 0. 3.3) In parMfivS3MM if E = En,wehavethat hn (x) E # n (x) En (x) # d#(En ) t) x t = N # d#n (t) x t . By (2.16) hn (x) N # H(x) # d # ....
E. B. Saff, J. L. Ullman, and R. S. Varga, Incomplete polynomials: an electrostatics approach, in Approximation theory, III (Proc. Conf., Univ. Texas, Austin, Tex.,
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