Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 51-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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Ђ sharp lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant is obtained.
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A. Yu. Popov; A. P. Solodov. Exact lower estimate of the upper limit of the ratio of the sum of sine series with monotone coefficients to its majorant. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 51-55. http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a7/

[1] Popov A.Yu., “Otsenki summ ryadov po sinusam s monotonnymi koeffitsientami nekotorykh klassov”, Matem. zametki, 74:6 (2003), 877–888 | DOI | Zbl

[2] Telyakovskiĭ S.A., “On the behavior near the origin of the sine series with convex coefficients”, Publ. Inst. Math. Nouvelle sér., 58:72 (1995), 43–50 | MR | Zbl

[3] Hartman P., Wintner A., “On sine series with monotone coefficients”, J. London Math. Soc., 28:1 (1953), 102–104 | DOI | MR | Zbl

[4] Aljančić S., Bojanić R., Tomić M., “Sur le comportement asymptotique au voisinage de zéro des séries trigonométriques de sinus à coefficients monotones”, Publ. Inst. Math. Serbe Sci., 10 (1956), 101–120 | MR | Zbl

[5] Seneta E., Pravilno menyayuschiesya funktsii, Nauka, M., 1985 | MR

[6] Bari N.K., Trigonometricheskie ryady, GIFML, M., 1961 | MR