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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Dragomir, S.S. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity:
Dragomir, Sever S. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Mercer, A.McD. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Changjian, Zhao, Chen, Chur-Jen, Cheung, Wing-Sum (2009)
Journal of Inequalities and Applications [electronic only]
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Khosravi, Maryam, Mahyar, Hakimeh, Moslehian, Mohammad Sal (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Cipu, Aurelia (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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.
Wen, Jia-Jin, Zhang, Zhi-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Dragomir, S.S. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity:
Zeilberger, Doron (1996)
The Electronic Journal of Combinatorics [electronic only]
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Belbachir, Hacène (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Alimov, Shavkat A., Ilhan, Onur Alp (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Similarity: