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Liouville–Weyl Derivatives of Double Trigonometric Series

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Topics in Classical and Modern Analysis

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

We obtain estimates of norms and best approximations of the generalized Liouville–Weyl derivative in the two-dimensional case.

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Acknowledgement

This research was partially supported by the RFBR (grant N 18-01-00281), AP 05132590.

Author information

Authors and Affiliations

  1. L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan

    Ainur Jumabayeva

  2. Volgograd State Technical University, Volgograd, Russia

    Boris Simonov

Authors
  1. Ainur Jumabayeva
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  2. Boris Simonov
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Editor information

Editors and Affiliations

  1. Georgia Southern University, Statesboro, GA, USA

    Martha Abell

  2. Georgia Southern University, Statesboro, GA, USA

    Emil Iacob

  3. Georgia Southern University, Statesboro, GA, USA

    Alex Stokolos

  4. Georgia Southern University, Statesboro, GA, USA

    Sharon Taylor

  5. ICREA, Passeig de Lluís Companys, Barcelona, Spain ; Centre de Recerca Matemàtica, Barcelona, Spain

    Sergey Tikhonov

  6. Georgia Southern University, Statesboro, GA, USA

    Jiehua Zhu

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Jumabayeva, A., Simonov, B. (2019). Liouville–Weyl Derivatives of Double Trigonometric Series. In: Abell, M., Iacob, E., Stokolos, A., Taylor, S., Tikhonov, S., Zhu, J. (eds) Topics in Classical and Modern Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-12277-5_11

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