Markov-Type Inequalities for Products of Müntz Polynomials Revisited

Tamás Erdélyi ()
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Tamás Erdélyi: Texas A&M University

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 19-39 from Springer

Abstract: Abstract Professor Rahman was a great expert of Markov- and Bernstein-type inequalities for various classes of functions, in particular for polynomials under various constraints on their zeros, coefficients, and so on. His books are great sources of such inequalities and related matters. Here we do not even try to survey Rahman’s contributions to Markov- and Bernstein-type inequalities and related results. We focus on Markov-type inequalities for products of Müntz polynomials. Let Λ n : = { λ 0

Keywords: Markov-type inequality; Markov–Nikolskii-type inequality; Bernstein-type inequality; Müntz polynomials; Lacunary polynomials; Dirichlet sums; Exponential sums; Products; Primary: 41A17; Secondary: 30B10, 26D15 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-49242-1_2

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