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Approximation of Analytic Functions by Shifts of Certain Compositions

Author

Listed:
  • Darius Šiaučiūnas

    (Institute of Regional Development, Šiauliai Academy, Vilnius University, P. Višinskio Str. 25, LT-76351 Šiauliai, Lithuania
    These authors contributed equally to this work.)

  • Raivydas Šimėnas

    (Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania
    These authors contributed equally to this work.)

  • Monika Tekorė

    (Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania
    These authors contributed equally to this work.)

Abstract

In the paper, we obtain universality theorems for compositions of some classes of operators in multidimensional space of analytic functions with a collection of periodic zeta-functions. The used shifts of periodic zeta-functions involve the sequence of imaginary parts of non-trivial zeros of the Riemann zeta-function.

Suggested Citation

  • Darius Šiaučiūnas & Raivydas Šimėnas & Monika Tekorė, 2021. "Approximation of Analytic Functions by Shifts of Certain Compositions," Mathematics, MDPI, vol. 9(20), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2583-:d:656418
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    Citations

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    Cited by:

    1. Antanas Laurinčikas & Renata Macaitienė, 2023. "A Generalized Discrete Bohr–Jessen-Type Theorem for the Epstein Zeta-Function," Mathematics, MDPI, vol. 11(4), pages 1-13, February.

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