2017
Том 69
№ 7

All Issues

On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net

Babenko V. F., Vakarchuk M. B.

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Abstract

We obtain a strengthened version of the Hörmander inequality for functions ƒ: ℝ → ℝ, in which, instead of ‖ƒ‖, we use the least upper bound of the values of f on a discrete set of points.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 7, pp 1109-1113.

Citation Example: Babenko V. F., Vakarchuk M. B. On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net // Ukr. Mat. Zh. - 1997. - 49, № 7. - pp. 988–992.

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