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Published in:
1993 | OriginalPaper | Chapter
Generalized Hölder and Minkowski Inequalities
Authors : D. S. Mitrinović, J. E. Pečarić, A. M. Fink
Published in: Classical and New Inequalities in Analysis
Publisher: Springer Netherlands
Included in: Professional Book Archive
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Let E a nonempty set and L be a linear class of real valued functions g on E having the properties $$ L1:f,g \in L \Rightarrow \left( {af + bg} \right) \in L\,for\,all\,a,b \in R;$$$$ L2:1 \in L,that\,is\,if\,\left( t \right) = 1\left( {t \in E} \right),\,then\,f \in L.$$