A Remark on the Inequalities of Bernstein - Markov Type in Exponential Orlicz and Lorentz Spaces

2004/11/27 by E. Ostrovsky, Ostrovsky, E.
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #math.FA

paper · pdf · doi:10.48550/arxiv.math/0411617

14 pages

arxiv created 2004/11/27 · arxiv updated 2009/12/01

Abstract

We prove in this article the generalizations on the exponential Orlicz spaces Markov's - Bernstein's inequalities for algebraic polynomials and rational functions.

Related

• Bernstein- and Markov-type inequalities
• Markov's inequality and C^∞ functions on algebraic sets
• Marcinkiewicz-Zygmund inequalities in quasi-Banach function spaces
• Bernstein- and Markov-type inequalities for rational functions
• Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros