Some generalizations of Kantorovich's inequality
Marcus, Marvin, Khan, N.A. (1961)
Portugaliae mathematica
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Marcus, Marvin, Khan, N.A. (1961)
Portugaliae mathematica
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Theodore Töllis (1987)
Czechoslovak Mathematical Journal
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D. Przeworska-Rolewicz (1970)
Studia Mathematica
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Abdullah M. Jarrah, Eberhard Malkowsky (2004)
Collectanea Mathematica
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Mikio Kato, Lars-Erik. Persson, Yasuji Takahashi (2000)
Collectanea Mathematica
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We prove some multi-dimensional Clarkson type inequalities for Banach spaces. The exact relations between such inequalities and the concepts of type and cotype are shown, which gives a conclusion in an extended setting to M. Milman's observation on Clarkson's inequalities and type. A similar investigation conceming the close connection between random Clarkson inequality and the corresponding concepts of type and cotype is also included. The obtained results complement, unify and generalize...
F. Móricz, K. Tandori (1986)
Studia Mathematica
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Hodges, John H. (1964)
Portugaliae mathematica
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