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Orthogonal Polynomials for Exponential Weights pp 293–311Cite as

Markov-Bernstein and Nikolskii Inequalities

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Abstract

In this chapter, we shall prove Markov-Bernstein inequalities and Nikolskii inequalities. We begin with the former. We shall make substantial use of the function ϕ t defined by (9.18) and (9.19).

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Authors and Affiliations

  1. Department of Mathematics, The Open University of Israel, P.O. Box 39328, Ramat Aviv, Tel Aviv, 61392, Israel

    Eli Levin

  2. Centre for Applicable Analysis and Number Theory Department of Mathematics, Witwatersrand University, Private Bag 3, Wits, 2050, South Africa

    Doron S. Lubinsky

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  1. Eli Levin
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  2. Doron S. Lubinsky
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© 2001 Springer Science+Business Media New York

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Levin, E., Lubinsky, D.S. (2001). Markov-Bernstein and Nikolskii Inequalities. In: Orthogonal Polynomials for Exponential Weights. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0201-8_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0201-8_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6563-4

  • Online ISBN: 978-1-4613-0201-8

  • eBook Packages: Springer Book Archive

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