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On the infimum of the absolute value of successive derivatives of a real function defined on a bounded interval

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-norm of the function.
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Dates and versions

hal-03845088 , version 1 (09-11-2022)

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Michel Balazard. On the infimum of the absolute value of successive derivatives of a real function defined on a bounded interval. Number Theory. Dedicated to the memory of Eduard Wirsing, Springer, In press. ⟨hal-03845088⟩
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