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Interrelations between full moduli of smoothness in the metrics of L 1 and L ∞

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Abstract

Interrelation between full moduli of smoothness of natural orders in the metrics L 1 and L ∞ is considered in the paper.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    M. K. Potapov

  2. Volgograd State Technical University, 28 Lenin av., Volgograd, 400005, Russia

    B. V. Simonov

Authors
  1. M. K. Potapov
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  2. B. V. Simonov
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Corresponding author

Correspondence to M. K. Potapov.

Additional information

Original Russian Text © M.K. Potapov, B.V. Simonov, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 1, pp. 16-24.

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Potapov, M.K., Simonov, B.V. Interrelations between full moduli of smoothness in the metrics of L 1 and L ∞ . Moscow Univ. Math. Bull. 71, 15–22 (2016). https://doi.org/10.3103/S0027132216010034

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  • DOI: https://doi.org/10.3103/S0027132216010034

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