On the Positivity of Average Sums of Sine Series with Monotone Coefficients
Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 630-634.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: sine series, conjugate Dirichlet kernels
Mots-clés : monotone coefficients.
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E. D. Alferova; A. Yu. Popov. On the Positivity of Average Sums of Sine Series with Monotone Coefficients. Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 630-634. http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a12/

[1] H. K. Bari, Trigonometricheskie ryady, Fizmatgiz, M., 1961 | MR

[2] A. P. Solodov, Matem. zametki, 107:6 (2020), 906–921 | DOI

[3] P. Hartman, A. Wintner, J. London Math. Soc, 28 (1953), 102–104 | DOI | MR

[4] A. Yu. Popov, Matem. zametki, 74:6 (2003), 877–888 | DOI | MR | Zbl

[5] A. Yu. Popov, Matem. zametki, 109:5 (2021), 768–780 | DOI

[6] G. Polia, G. Sege, Zadachi i teoremy iz analiza, Ch. 1–2, Nauka, M., 1978 | MR | Zbl