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On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series

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References

  1. A. H. Kolmogorov, Fundamenta 7, 24 (1925).

    Google Scholar 

  2. D. E. Men’shov, Math. USSR-Sb. 22 (4), 497 (1974).

    Article  Google Scholar 

  3. D. E. Men’shov, Math. USSR-Sb. 15 (3), 415 (1971).

    Article  Google Scholar 

  4. D. Menchoff, Mat. Sb. 11 (53) (1-2), 67 (1942).

    MathSciNet  Google Scholar 

  5. M. Grigoryan and L. Galoyan, J. Math. Anal. Appl. 434, 554 (2016).

    Article  MathSciNet  Google Scholar 

  6. M. Grigoryan and L. Galoyan, Colloq. Math. 158 (2), 195 (2019).

    Article  MathSciNet  Google Scholar 

  7. L. N. Galoyan, M. G. Grigoryan, and A. Kh. Kobelyan, Sb. Math. 206 (7), 941 (2015).

    Article  MathSciNet  Google Scholar 

  8. A. Zygmund, Trigonometric Series (Cambridge Univ. Press,, Cambridge, 1960), Vol. 1.

    MATH  Google Scholar 

  9. A. M. Olevskii, Sov. Math. Dokl. 19, 102 (1978).

    Google Scholar 

  10. B. S. Kashin and G. G. Kosheleva, Vestnik Moskov. Univ. Ser. I Mat. Mekh., No. 4, 6 (1988).

    Google Scholar 

  11. M. G. Grigoryan, Banach J. Math. Anal. 11 (3), 698 (2017).

    Article  MathSciNet  Google Scholar 

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Acknowledgments

In conclusion, the author wishes to express gratitude to B. S. Kashin for attention to this work.

Funding

This work was supported by the Science Committee of the Republic of Armenia under grant no. 21AG-1A066.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, 375025, Armenia

    M. G. Grigoryan

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  1. M. G. Grigoryan
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Correspondence to M. G. Grigoryan.

Additional information

Translated from Matematicheskie Zametki, 2022, Vol. 112, pp. 474–477 https://doi.org/10.4213/mzm13550.

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Grigoryan, M.G. On the Convergence of Negative-Order Cesàro Means of Fourier and Fourier–Walsh Series. Math Notes 112, 476–479 (2022). https://doi.org/10.1134/S0001434622090152

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  • DOI: https://doi.org/10.1134/S0001434622090152

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