Some estimates for non-negative trigonometric polynomials and properties of these polynomials
Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 637-653.

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We prove several new estimates for non-negative trigonometric polynomials and give some applications of these estimates.
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A. S. Belov. Some estimates for non-negative trigonometric polynomials and properties of these polynomials. Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 637-653. http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a0/

[1] Belov A. S., “Ob odnoi ekstremalnoi zadache o minimume trigonometricheskogo polinoma”, Izv. RAN. Ser. matem., 57:6 (1993), 212–226 | MR | Zbl

[2] Polia G., Segë G., Zadachi i teoremy iz analiza, Ch. II, Nauka, M., 1978

[3] Belov A. S., “Ob usloviyakh skhodimosti (ogranichennosti) v srednem chastnykh summ trigonometricheskogo ryada”, Metricheskaya teoriya funktsii i smezhnye voprosy analiza, AFTs, M., 1999, 1–17 | MR

[4] Belov A. S., “O nekotorykh voprosakh povedeniya chastnykh summ trigonometricheskogo ryada”, Sovremennye problemy teorii funktsii i ikh prilozheniya, Tezisy dokladov 10-i Saratovskoi zimnei shkoly (27 yanv.–2 fevr. 2000 g.), Izd-vo Saratovskogo un-ta, Saratov, 2000, 16–17

[5] Zigmund A., Trigonometricheskie ryady, T. 1, 2, Mir, M., 1965 | MR

[6] Belov A. S., “Ob otsenkakh sverkhu chastnykh summ trigonometricheskogo ryada cherez otsenki snizu”, Matem. sb., 183:11 (1992), 55–74 | MR | Zbl

[7] Belov A. S., “O trigonometricheskikh ryadakh s neotritsatelnymi chastnymi summami, kotorye ne yavlyayutsya ryadami Fure–Lebega”, Matem. zametki, 59:1 (1996), 24–41 | MR | Zbl

[8] Belov A. S., “Ob usloviyakh skhodimosti v srednem trigonometricheskikh ryadov Fure”, Tezisy dokladov mezhdunarodnoi konferentsii “Teoriya priblizhenii i garmonicheskii analiz” (Tula, 26–29 maya 1998 g.), Tula, 1998, 38–40 | MR

[9] Belov A. S., “O koeffitsientakh trigonometricheskikh ryadov s neotritsatelnymi chastichnymi summami”, Matem. zametki, 41:2 (1987), 152–158 | MR | Zbl