The extension of some Orlicz space results to the theory of optimal measure

Authors

  • Nutefe Kwami Agbeko,

    1. University of Miskolc, Department of Applied Mathematics, 3515 Miskolc-Egyetemváros, Hungary. Phone: +36 46 565111, ext. 1344, Fax: +36 46 565146
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  • Sever Silvestru Dragomir

    Corresponding author
    1. School of Engineering & Science, Victoria University, P. O. Box 14428, Melbourne City, MC 8001, Australia
    • School of Engineering & Science, Victoria University, P. O. Box 14428, Melbourne City, MC 8001, Australia. Phone: +61 3 9919 4437, Fax: +61 3 9919 4050
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Abstract

We extend some fundamental results about the Orlicz space LΦ (such as the Jensen and Hölder inequalities, the LΦ Banach spaces and their duals) to Optimal Measure Theory.

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