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Relations between moduli of smoothness in different metrics

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Abstract

Two inequalities are proved in the paper. These inequalities extend and refine the well-known Yl’yanov’s inequality concerning relations between moduli of continuity in various metrics.

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References

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Authors and Affiliations

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

    M. K. Potapov, B. V. Simonov & S. Yu. Tikhonov

  2. Volgograd State Technical University, Lenin av. 28, Volgograd, 400131, Russia

    M. K. Potapov, B. V. Simonov & S. Yu. Tikhonov

  3. Center for International Education, Moscow State University, Krzhizhanovskogo st. 24/35, Moscow, 117218, Russia

    M. K. Potapov, B. V. Simonov & S. Yu. Tikhonov

Authors
  1. M. K. Potapov
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  2. B. V. Simonov
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  3. S. Yu. Tikhonov
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Additional information

Original Russian Text © M.K. Potapov, B.V. Simonov, S.Yu. Tikhonov, 2009, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2009, Vol. 64, No. 3, pp. 17–25.

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Potapov, M.K., Simonov, B.V. & Tikhonov, S.Y. Relations between moduli of smoothness in different metrics. Moscow Univ. Math. Bull. 64, 105–112 (2009). https://doi.org/10.3103/S0027132209030036

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  • DOI: https://doi.org/10.3103/S0027132209030036

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