Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622283 | Journal of Mathematical Analysis and Applications | 2007 | 6 Pages |
Abstract
In this paper we give a simple proof of inequalities of integrals of functions which are the composition of nonnegative continuous convex functions on a vector space Rm and vector-valued functions in a weakly compact subset of a Banach vector space generated by m -spaces for 1⩽p<+∞. Also, the same inequalities hold if these vector-valued functions are in a weakly* compact subset of a Banach vector space generated by m -spaces instead.
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