Approximate properties of methods of summability of Fourier integrals

Authors

  • O. V. Kotova
  • R. M. Trigub

DOI:

https://doi.org/10.15407/dopovidi2015.01.013

Keywords:

Bochner-Riesz, Gauss-Weierstrass, Marcinkiewicz-Riesz, summability of Fourier integrals

Abstract

The exact orders of approximation of individual functions Rd → C by the classical methods of summability of Fourier integrals (Gauss–Weierstrass, Bochner–Riesz, Marcinkiewicz–Riesz) are determined.

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References

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Published

08.01.2025

How to Cite

Kotova, O. V., & Trigub, R. M. (2025). Approximate properties of methods of summability of Fourier integrals . Reports of the National Academy of Sciences of Ukraine, (1), 13–19. https://doi.org/10.15407/dopovidi2015.01.013