On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a Bounded Interval

Michel Balazard ()
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Michel Balazard: Aix Marseille Université Marseille, Institut de Mathématiques de Marseille (I2M) CNRS

A chapter in Number Theory in Memory of Eduard Wirsing, 2023, pp 27-42 from Springer

Abstract: Abstract A study of the greatest possible ratio of the smallest absolute value of a higher derivative of some function, defined on a bounded interval, to the L p $$L^p$$ -norm of the function.

Keywords: Chebyshev polynomials; Legendre polynomials; Extremal problems; Inequalities for derivatives (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31617-3_4

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DOI: 10.1007/978-3-031-31617-3_4

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