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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008)
  6. Exponents in R of Elements in a Uniformly Complete $\Phi-Algebra$
 
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Exponents in R of Elements in a Uniformly Complete $\Phi-Algebra$

Toumi, Mohamed Ali
2009
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ISSN
00494704
http://hdl.handle.net/10077/3332
  • Article

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 $\Phi-algebras$.
Series
Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics
40 (2008)
Subjects
  • p-Power

  • Hölder’s Inequality

  • Cauchy-Schwartz’s Ine...

  • f-Algebras

  • Uniformly Complete $\...

  • Young’s Inequality

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.
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