More on reverse triangle inequality in inner product spaces.
Ansari, A.H., Moslehian, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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Ansari, A.H., Moslehian, M.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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J. M. Martínez (1978)
Commentationes Mathematicae Universitatis Carolinae
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Ansari, Arsalan Hojjat, Moslehian, Mohammad Sal (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zabel, Ahmed, Alghamdi, Maryam (2011)
International Journal of Mathematics and Mathematical Sciences
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Ţincu, Ioan (2007)
General Mathematics
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Agarwal, Ravi P., Verma, Ram U. (2009)
Fixed Point Theory and Applications [electronic only]
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Kangkang Wang (2009)
Czechoslovak Mathematical Journal
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In this paper, we study the limit properties of countable nonhomogeneous Markov chains in the generalized gambling system by means of constructing compatible distributions and martingales. By allowing random selection functions to take values in arbitrary intervals, the concept of random selection is generalized. As corollaries, some strong limit theorems and the asymptotic equipartition property (AEP) theorems for countable nonhomogeneous Markov chains in the generalized gambling system...