Markov type Inequality for Functional Determinants

• Autores: Nina Roytvarf
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 2, Nº 1, 2001, págs. 79-92
• Idioma: español
• DOI: 10.1007/bf02969383
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• Resumen

  • We generalize the classical Markov inequality, relating the maximum of the polynomial and the maximum of its derivative on the interval, in two directions: first we replace polynomials by functions in ``Bernstein classes" (studied in $\cite{4}$,$\cite{5}$). Second, and more important generalization is that similar inequality is established for Wronskians of different order; of the system of polynomials (or function in a given Bernstein class)