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- Vilmos Totik
- SIAM Review
- 1991

- Vilmos Totik
- 2006

L’accès aux articles de la revue « Annales de l’institut Fourier » (http://aif.cedram.org/), implique l’accord avec les conditions générales d’utilisation (http://aif.cedram.org/legal/). Toute reproduction en tout ou partie cet article sous quelque forme que ce soit pour tout usage autre que l’utilisation à fin strictement personnelle du copiste est… (More)

- Paul Nevai, Vilmos Totik
- Journal of Approximation Theory
- 2004

- Vilmos Totik
- 1992

In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.

- Vilmos Totik
- Journal of Approximation Theory
- 2009

The Baker–Gammel-Wills Conjecture states that if a function f is meromorphic in a unit disk D, then there should, at least, exist an infinite subsequence N ⊆ N such that the subsequence of diagonal Padé approximants to f developed at the origin with degrees contained in N converges to f locally uniformly in D/{poles of f }. Despite the fact that this… (More)

- Barry Simon, Vilmos Totik
- 2004

We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a question of P. Turán): namely, for n < N , one can freely prescribe the… (More)

- Vilmos Totik, JOSEPH L. ULLMAN
- 1994

Converse results, which state a relation (inequality) for measures from that on their logarithmic potentials, are applied to local density of zeros of orthogonal polynomials when the measure of orthogonality is a general one with compact support. It will be shown that if the measure is sufficiently thick on a part of its support, then on that part the… (More)

We investigate the asymptotic behavior of the polynomials {Pn(f)}'t' of best uniform approximation to a function f that is continuous on a compact set K of the complex plane C and analytic in the interior of K, where K has connected complement. For example, we show that for "most" functions f, the error f -Pn(f) does not decrease faster at interior points… (More)

We extend Markov’s, Bernsteins’s, and Videnskii’s inequalities to arbitrary subsets of [−1, 1] and [−π,π], respectively. The primary purpose of this note is to extend Markov’s and Bernsteins’s inequalities to arbitrary subsets of [−1, 1] and [−π, π], respectively. We denote by Pn the set of all real algebraic polynomials of degree at most n and let m(·)… (More)