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On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line

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Abstract

We prove inequalities of the Landau–Kolmogorov–Hörmander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hörmander result.

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  1. Dnepropetrovsk University, Dnepropetrovsk

    V. A. Kofanov

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  1. V. A. Kofanov
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Kofanov, V.A. On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line. Ukrainian Mathematical Journal 52, 1913–1927 (2000). https://doi.org/10.1023/A:1010460027399

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