Extremal problems for Lorentz classes of nonnegative polynomials in 𝐿² metric with Jacobi weight
Author:
Abstract
Let L n {L_n} be the Lorentz class of nonnegative polynomials on [ − 1 , 1 ] [-1,1] . Extremal problems of Markov type, in L 2 {L^2} norm with Jacobi weight, on the set L n {L_n} or on its subset, are investigated.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1988-102-02/S0002-9939-1988-0920987-2/S0002-9939-1988-0920987-2.pdf
Reference13 articles.
1. On extremal properties of the derivatives of polynomials;Erdös, P.;Ann. of Math. (2),1940
2. An extremum problem concerning algebraic polynomials;Erdős, P.;Acta Math. Hungar.,1986
3. The degree of approximation by polynomials with positive coefficients;Lorentz, G. G.;Math. Ann.,1963
4. Derivatives of polynomials with positive coefficients;Lorentz, G. G.;J. Approximation Theory,1968
5. A. A. Markov, On a problem of D. I. Mendeleev, Zap. Imp. Akad. Nauk, St. Petersburg 62 (1889), 1-4. (Russian)
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