Geodesic
The Markov Brothers Inequality in $L_0$-Space on an Interval
Matematičeskie zametki, Tome 78 (2005) no. 1, pp. 59-65 
P. Yu. Glazyrina. The Markov Brothers Inequality in $L_0$-Space on an Interval. Matematičeskie zametki, Tome 78 (2005) no. 1, pp. 59-65. http://geodesic.mathdoc.fr/item/MZM_2005_78_1_a5/
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     title = {The {Markov} {Brothers} {Inequality} in $L_0${-Space} on an {Interval}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The exact value of the constant in the Markov brothers inequality in $L_0$-space is obtained for algebraic polynomials on an interval.

[1] Markov A. A., “Ob odnom voprose D. I. Mendeleeva”, Izv. Peterburgskoi AN, 62 (1989), 1–24

[2] Markov V. V., O funktsiyakh, naimenee uklonyayuschikhsya ot nulya v dannom promezhutke, SPb., 1892

[3] Milovanović G. V., Mitrinović D. S., Rassias Th. M., Topics in Polynomials: Extremal Problems, Inequalities, Zeros, World Sci. Publ., River Edge, NJ, 1994 | MR

[4] Hille E., Szegö G., Tamarkin J. D., “On some generalizations of a theorem of A. Markoff”, Duke Math. J., 3 (1937), 729–739 | DOI | MR | Zbl

[5] Bari N. K., “Obobschenie neravenstv S. N. Bernshteina i A. A. Markova”, Izv. AN SSSR. Ser. matem., 18 (1954), 159–176 | MR | Zbl

[6] Konyagin S. V., “Otsenki proizvodnykh ot mnogochlenov”, Dokl. AN SSSR, 243:5 (1978), 1116–1118 | Zbl

[7] Konyagin S. V., “O neravenstve V. A. Markova dlya mnogochlenov v metrike $L$”, Tr. MIAN, 145, Nauka, M., 1980, 117–125 | MR | Zbl

[8] Ivanov V. I., “Nekotorye neravenstva dlya trigonometricheskikh mnogochlenov i ikh proizvodnykh v raznykh metrikakh”, Matem. zametki, 18:4 (1975), 489–498 | MR | Zbl

[9] Bernshtein S. N., Sobranie sochinenii, T. 1, Izd-vo AN SSSR, M., 1952

[10] Zigmund A., Trigonometricheskie ryady, Mir, M., 1965

[11] Arestov V. V., “Ob integralnykh neravenstvakh dlya trigonometricheskikh mnogochlenov i ikh proizvodnykh”, Izv. AN SSSR. Ser. matem., 45:1 (1981), 3–22 | Zbl

[12] Kheiman U., Kennedi P., Subgarmonicheskie funktsii, Mir, M., 1980