Displaying similar documents to “On means of positive definite matrices”

Two inequalities for series and sums

Horst Alzer (1995)

Mathematica Bohemica

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In this paper we refine an inequality for infinite series due to Astala, Gehring and Hayman, and sharpen and extend a Holder-type inequality due to Daykin and Eliezer.

Clarkson type inequalities and their relations to the concepts of type and cotype.

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...