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On the Joint Approximation of a Function and its Derivatives in the Mean

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Ukrainian Mathematical Journal Aims and scope

We study the properties of functions integrable on a segment. Some estimates for the approximations of a function and its derivatives are obtained.

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Authors and Affiliations

  1. T. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. V. Motorna

  2. Honchar Dnipro National University, Dnipro, Ukraine

    V. P. Motornyi

Authors
  1. O. V. Motorna
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  2. V. P. Motornyi
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Correspondence to V. P. Motornyi.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 2, pp. 261–270, February, 2019.

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Motorna, O.V., Motornyi, V.P. On the Joint Approximation of a Function and its Derivatives in the Mean. Ukr Math J 71, 296–307 (2019). https://doi.org/10.1007/s11253-019-01645-4

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  • DOI: https://doi.org/10.1007/s11253-019-01645-4

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