On the constant in the nonuniform version of the Berry-Esseen theorem.
Neammanee, K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Neammanee, K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Xin, Guoce (2011)
The Electronic Journal of Combinatorics [electronic only]
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Prakasa Rao, B.L.S. (2005)
Journal of Inequalities and Applications [electronic only]
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Kuczmaszewska, Anna (2008)
Discrete Dynamics in Nature and Society
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Karel Koštál (1967)
Czechoslovak Mathematical Journal
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Ishikawa, Masao, Kawamuko, Hiroyuki, Okada, Soichi (2005)
The Electronic Journal of Combinatorics [electronic only]
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Jakub Duda (2008)
Czechoslovak Mathematical Journal
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In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence...
Chatfield, J.A. (1978)
International Journal of Mathematics and Mathematical Sciences
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