2017
Том 69
№ 9

All Issues

On additive inequalities for intermediate derivatives of functions given on a finite interval

Babenko V. F., Kofanov V. A., Pichugov S. A.

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Abstract

We present a general scheme for deducing additive inequalities of Landau-Hadamard type. As a consequence, we prove several new inequalities for the norms of intermediate derivatives of functions given on a finite interval with an exact constant with the norm of a function.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 5, pp 685-696.

Citation Example: Babenko V. F., Kofanov V. A., Pichugov S. A. On additive inequalities for intermediate derivatives of functions given on a finite interval // Ukr. Mat. Zh. - 1997. - 49, № 5. - pp. 619–628.

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