Geodesic
Strengthenings of inequalities by Lyapunov, Hölder and Minkowski
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 20, Tome 420 (2013), pp. 149-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some strengthenings and generalizations of classical inequalities due to Lyapunov, Hölder and Minkowski are given in probabilistic and also in analytical terms. 
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     title = {Strengthenings of inequalities by {Lyapunov,} {H\"older} and {Minkowski}},
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V. V. Petrov. Strengthenings of inequalities by Lyapunov, Hölder and Minkowski. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 20, Tome 420 (2013), pp. 149-156. http://geodesic.mathdoc.fr/item/ZNSL_2013_420_a8/

[1] V. V. Petrov, “Odno neravenstvo dlya momentov sluchainoi velichiny”, Teoriya veroyatn. i ee primen., 20:2 (1975), 402–403 | MR | Zbl

[2] V. V. Petrov, Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987 | MR

[3] V. V. Petrov, Limit Theorems of Probability Theory, Oxford University Press, New York, 1995 | MR | Zbl

[4] V. V. Petrov, “A generalization of the Borel–Cantelli lemma”, Statist. Probab. Letters, 67 (2004), 233–239 | DOI | MR | Zbl

[5] B. C. Arnold, “Some elementary versions of the Lyapunov inequality”, SIAM J. Appl. Math., 35 (1978), 117–118 | DOI | MR | Zbl

[6] V. V. Petrov, “On lower bounds for tail probabilities”, J. Statist. Planning Inference, 137 (2007), 2703–2705 | DOI | MR | Zbl

[7] V. V. Petrov, “Obobschenie neravenstva Chzhuna–Erdësha dlya veroyatnosti ob'edineniya sobytii”, Zap. nauchn. semin. POMI, 396, 2007, 147–150 | MR | Zbl

[8] M. Loev, Teoriya veroyatnostei, IL, M., 1962 | MR

[9] V. V. Petrov, “O poryadke rosta summ zavisimykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 18:2 (1973), 358–361 | MR | Zbl

[10] V. V. Petrov, “O roste summ izmerimykh funktsii”, Litovskii matem. sb., 16 (1976), 189–192 | Zbl

[11] V. V. Petrov, “Nekotorye neravenstva dlya momentov”, Izvestiya AN Uzbek. SSR, ser. fiz.-matem. nauk, 1982, no. 5, 358–361