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http://hdl.handle.net/10077/3332| Title: | Exponents in R of Elements in a Uniformly Complete $\Phi-Algebra$ | Authors: | Toumi, Mohamed Ali | Keywords: | p-Power; Hölder’s Inequality; Cauchy-Schwartz’s Inequality; f-Algebras; Uniformly 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 | URI: | http://hdl.handle.net/10077/3332 | 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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| File | Description | Size | Format | |
|---|---|---|---|---|
| 02Toumi.pdf | 146.63 kB | Adobe PDF | View/Open |
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