On some inequalities in normed algebras.

Dragomir, Sever S.

Displaying similar documents to “On some inequalities in normed algebras.”

The discrete version of Ostrowski's inequality in normed linear spaces.

Dragomir, S.S. (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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The hypo-Euclidean norm of an $n$ -tuple of vectors in inner product spaces and applications.

Dragomir, Sever S. (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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A monotonicity property of power means.

Mercer, A.McD. (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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On Pečarić-Rajić-Dragomir-type inequalities in normed linear spaces.

Changjian, Zhao, Chen, Chur-Jen, Cheung, Wing-Sum (2009)

Journal of Inequalities and Applications [electronic only]

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Reverse triangle inequality in Hilbert $C^{*}$ -modules.

Khosravi, Maryam, Mahyar, Hakimeh, Moslehian, Mohammad Sal (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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On an upper bound for the deviations from the mean value.

Cipu, Aurelia (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Characterization of intermediate values of the triangle inequality II

Hiroki Sano, Tamotsu Izumida, Ken-Ichi Mitani, Tomoyoshi Ohwada, Kichi-Suke Saito (2014)

Open Mathematics

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In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. C n that satisfy 0 ≤ C n ≤ Σj=1n ‖x j‖ − ‖Σj=1n x j‖, x 1,...,x n ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.