Geodesic
On inequalities of Landau–Kolmogorov–Hörmander type on the semi-axis
Matematičeskie zametki, Tome 65 (1999) no. 2, pp. 175-185 
V. F. Babenko; V. A. Kofanov; S. A. Pichugov. On inequalities of Landau–Kolmogorov–Hörmander type on the semi-axis. Matematičeskie zametki, Tome 65 (1999) no. 2, pp. 175-185. http://geodesic.mathdoc.fr/item/MZM_1999_65_2_a1/
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     title = {On inequalities of {Landau{\textendash}Kolmogorov{\textendash}H\"ormander} type on the semi-axis},
     journal = {Matemati\v{c}eskie zametki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Landau E., “Einige Ungleichungen für zweimal differenzierbare Funktion”, Proc. London Math. Soc., 13 (1913), 43–49 | DOI

[2] Hadamard J., “Sur le module maximum d'une fonction et de ses dérivées”, C. R. Soc. Math. France, 41 (1914), 68–72

[3] Bosse Yu. G., “O neravenstvakh mezhdu proizvodnymi”, Sbornik rabot studencheskikh kruzhkov Moskovskogo gosudarstvennogo universiteta, ed. G. E. Shilov, M., 1937, 17–27

[4] Kolmogorov A. N., “O neravenstvakh mezhdu verkhnimi granyami posledovatelnykh proizvodnykh proizvolnoi funktsii na beskonechnom intervale”, Uch. zapiski MGU, 30 (1939), 3–16

[5] Kolmogoroff A., “Une généralisation de J. Hadamard entre les bornes supérieures des dérivées successives d'une fonction”, C. R. Acad. Sci. France, 207 (1938), 764–765 | Zbl

[6] Matorin A. P., “O neravenstvakh mezhdu naibolshimi znacheniyami absolyutnykh velichin funktsii i ee proizvodnykh na polupryamoi”, Ukr. matem. zh., 7 (1955), 262–266 | MR | Zbl

[7] Stechkin S. B., “O neravenstvakh mezhdu verkhnimi granyami proizvodnykh proizvolnoi funktsii na poluosi”, Matem. zametki, 1:6 (1967), 665–674 | MR | Zbl

[8] Shönberg I. J., Cavaretta A., Solution of Landau's Problem, Concerning Higher Derivatives on Half-line, M.R.C. Technical Summary Report, 1970

[9] Shönberg I. J., Cavaretta A., “Solution of Landau's problem, concerning higher derivatives on half-line”, Proc. Conf. on Approximation Theory (Varna, 1970), Sofia, 1972, 297–308

[10] Pinkus A., $n$-Widths in Approximation Theory, Springer, Berlin, 1985

[11] Hörmander L., “New proof and generalization of inequality of Bohr”, Math. Scand., 2 (1954), 33–45 | MR | Zbl

[12] Korneichuk N. P., Ekstremalnye zadachi teorii priblizheniya, Nauka, M., 1976