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A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities - MaRDI portal

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A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities

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Publication:6421559

DOI10.1016/J.JAT.2022.105847arXiv2212.12480MaRDI QIDQ6421559

Author name not available (Why is that?)

Publication date: 23 December 2022

Abstract: Let V be a symmetric convex body in Rm. We prove sharp Bernstein-type inequalities for entire functions of exponential type with the spectrum in V and discuss certain properties of the extremal functions. Markov-type inequalities with sharp constants for algebraic polynomials on V and certain non-symmetric convex bodies are proved as well.





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