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Interrelations between mixed moduli of smoothness in metrics of L p and L ∞

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Abstract

Interrelations between mixed fractional moduli of smoothness considered in the metrics of L p and L ∞ are studied on the paper.

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Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, 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 and B.V. Simonov, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 3, pp. 21–35.

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Potapov, M.K., Simonov, B.V. Interrelations between mixed moduli of smoothness in metrics of L p and L ∞ . Moscow Univ. Math. Bull. 72, 107–120 (2017). https://doi.org/10.3103/S0027132217030044

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  • DOI: https://doi.org/10.3103/S0027132217030044

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