The case of equality in Landau's problem

G. W. Hagerty and P. Nag

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-13

Abstract:

Kolmogorov (1949) determined the best possible constant K n , m for the inequality M m ( f ) ≤ K n , m M 0 ( n − m ) / n ( f ) M n m / n ( f ) , 0 < m < n , where f is any function with n bounded, piecewise continuous derivative on ℝ and M k ( f ) = sup x ∈ ℝ | f ( k ) ( x ) | . In this paper, we provide a relatively simple proof for the case of equality.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:560356

DOI: 10.1155/IJMMS.2005.1781

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