2019
Том 71
№ 11

All Issues

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

Kofanov V. A.

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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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 12, pp 1913-1927.

Citation Example: Kofanov V. A. On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line // Ukr. Mat. Zh. - 2000. - 52, № 12. - pp. 1676-1688.

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