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Title: Exponents in R of Elements in a Uniformly Complete $\Phi-Algebra$
Authors: Toumi, Mohamed Ali
Keywords: p-PowerHölder’s InequalityCauchy-Schwartz’s Inequalityf-AlgebrasUniformly Complete $\Phi-Algebra$Young’s Inequality
Issue Date: 2009
Publisher: EUT - Edizioni Università di Trieste
Source: Mohamed Ali Toumi, "Exponents in R of Elements in a Uniformly Complete $\Phi-Algebra$" in Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 40 (2008), pp. 29-44.
Series/Report no.: Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
40 (2008)
Abstract: In this paper we give a new and constructive proof of exponents in R of elements in a uniformly complete $\Phi-algebra$. As an application we establish the Young’s inequality and we give a short proof of the Hölder’s inequality on uniformly complete $\Phi-algebras$.
Description: pp. 29-44
ISSN: 00494704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008)

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