2017
Том 69
№ 9

All Issues

On Kolmogorov-type inequalities for fractional derivatives of functions of two variables

Babenko V. F., Pichugov S. A.

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Abstract

We prove a new exact Kolmogorov-type inequality estimating the norm of a mixed fractional-order derivative (in Marchaud's sense) of a function of two variables via the norm of the function and the norms of its partial derivatives of the first order.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 6, pp 977-984.

Citation Example: Babenko V. F., Pichugov S. A. On Kolmogorov-type inequalities for fractional derivatives of functions of two variables // Ukr. Mat. Zh. - 2008. - 60, № 6. - pp. 837–842.

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