Extremal Polynomials and Entire Functions of Exponential Type

Author:

Revers Michael

Funder

Paris Lodron University of Salzburg

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference20 articles.

1. Bernstein, S.N.: Sur la meilleure approximation de $$\left|x\right|$$ x par des polynômes des degrés donnés. Acta Math. 37, 1–57 (1913)

2. Bernstein, S.N.: Extremal Properties of Polynomials and the Best Approximation of Continuous Functions of a Single Real Variable. State United Scientific and Technical Publishing House, Moscow (1937). (in Russian)

3. Bernstein, S.N.: Sur la meilleure approximation de $$\left|x\right|^{p}$$ x p par des polynômes des degrés trés élevés. Bull. Acad. Sci. USSR Sér. Math. 2, 181–190 (1938)

4. Dryanov, D.P., Qazi, M.A., Rahman, Q.I.: Entire functions of exponential type in approximation theory. In: Bojanov, B.D. (ed.) Constructive Theory of Functions, Proceedings of the international conference, Varna, Bulgaria, June 19–23, 2002. DARBA, Sofia, pp. 86–135 (2003)

5. Ganzburg, M.I.: The Bernstein constant and polynomial interpolation at the Chebyshev nodes. J. Approx. Theory 119, 193–213 (2002)

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1. On One Asymptotic Equality Proved by Revers;Ukrainian Mathematical Journal;2022-09

2. Про одну асимптотичну рівність Реверса;Ukrains’kyi Matematychnyi Zhurnal;2022-05-23

3. Asymptotics of Polynomial Interpolation and the Bernstein Constants;Results in Mathematics;2021-04-19

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