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Ukrainian Mathematical Journal

, Volume 71, Issue 2, pp 179–189 | Cite as

One Inequality of the Landau–Kolmogorov Type for Periodic Functions of Two Variables

  • V. F. BabenkoEmail author
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We obtain a new sharp inequality of the Landau–Kolmogorov type for a periodic function of two variables estimating the convolution of the best uniform approximations of its partial primitives by the sums of functions of single variable via the L-norm of the function itself and uniform norms of its mixed primitives. Some applications of the obtained inequality are also presented.

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Authors and Affiliations

  1. 1.Dnepr National UniversityDneprUkraine

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