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Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series

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Ukrainian Mathematical Journal Aims and scope

For functions of two variables defined by trigonometric series with quasiconvex coefficients, we estimate their variations in the Hardy–Vitali sense.

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References

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Authors and Affiliations

  1. L. Ukrainka East-European National University, Luts’k, Ukraine

    S. B. Hembars’ka

  2. Kyiv National University of Technologies and Design, Kyiv, Ukraine

    P. V. Zaderei

Authors
  1. S. B. Hembars’ka
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  2. P. V. Zaderei
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 7, pp. 908–921, July, 2016.

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Hembars’ka, S.B., Zaderei, P.V. Estimations of the Integral of Modulus for a Mixed Derivative of the Sum of Double Trigonometric Series. Ukr Math J 68, 1034–1048 (2016). https://doi.org/10.1007/s11253-016-1275-5

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  • DOI: https://doi.org/10.1007/s11253-016-1275-5

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