Titlebook: Approximation and Optimization; Proceedings of the I Juan Alfredo Gómez-Fernandez,Francisco Guerra-Vázq Conference proceedings 1988 Springe

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,Généralisation de formules de bornage de L-I et applications aux Lp,

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Juan Alfredo Gómez-Fernandez,Francisco Guerra-Vázq

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A principle of contamination in best polynomial approximation,he z-plane, analytic in the interior of E, but not analytic at some point of the boundary of E. Particularly, we survey results on the asymptotic behavior of the zeros of the p*.(z) and the extreme points for the error f(z) - p*.(z). The theorems and examples presented support a "principle of contam

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BRINK

Asymptotics for the ratio of the leading coefficients of orthogonal polynomials associated with a jals . and . on the unit circle U with respect to the measures α and β=α + ?δ(t) (t∈U, ?>0, δ(t) the unit measure supported at z=t). By proving that it is possible to build a sequence of orthonormal polynomials over U with prescribed values at an arbitrary point of U, some examples are given in which

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On some contributions of Halasz to the turan power-sum theory,oticeably the lower bounds in some of Halász‘s contributions to Turán‘s power-sum theory. In doing so, our objective has been to follow the book‘s methodology, to provide estimates of the same form and of the same simplicity.

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PAC