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Liouville–Weyl derivatives, best approximations, and moduli of smoothness

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Abstract

We obtain estimates of norms, best approximations, and moduli of smoothness of the generalized Liouville–Weyl derivatives. The concept of general monotone sequences plays the key role in our study.

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Authors and Affiliations

  1. L. N. Gumilyov Eurasian National University, Munaitpasov 7, 010010, Astana, Kazakhstan

    A. Jumabayeva

  2. Universitat Autonoma de Barcelona, and Centre de Recerca Matematica, Campus de Bellaterra, Edifici C, Barcelona, 08193, Spain

    A. Jumabayeva

Authors
  1. A. Jumabayeva
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Correspondence to A. Jumabayeva.

Additional information

This research was partially supported by the MTM 2011-27637, 2014 SGR 289.

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Jumabayeva, A. Liouville–Weyl derivatives, best approximations, and moduli of smoothness. Acta Math. Hungar. 145, 369–391 (2015). https://doi.org/10.1007/s10474-015-0485-x

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  • DOI: https://doi.org/10.1007/s10474-015-0485-x

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