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Constructive Characteristics of Full Module of Smoothness in Mixed Metric

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Abstract

We give constructive characteristics of full module of smoothness of natural order in mixed metrics of the spaces Lp1p2, 1 ≤ p i ≤ ∞, i = 1, 2.

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References

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Authors and Affiliations

  1. Moscow State University, Leninskie Gory 1, GSP-1, Moscow, 119991, Russia

    M. K. Potapov

  2. Volgograd State Technical University, pr. Lenina 28, 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, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 3, pp. 53–61.

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Potapov, M.K., Simonov, B.V. Constructive Characteristics of Full Module of Smoothness in Mixed Metric. Russ Math. 62, 45–52 (2018). https://doi.org/10.3103/S1066369X18030064

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  • DOI: https://doi.org/10.3103/S1066369X18030064

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