GENERALIZED HOLLEY-PRESTON INEQUALITIES ON MEASURE-SPACES AND THEIR PRODUCTS
It is shown that if (X, ℱ μ) is a product of totally ordered measure spaces and fj (j=1,2,3,4) are measurable non-negative functions on X satisfying f1(x)f2(y)≦f3(x∨y)f4(x∧y), where (∨, ∧) are the lattice operations on X, then (∫f1 dμ)(∫f2 dμ)≦(∫f3 dμ)(∫f4 dμ). This generalises results of Ahlswede a...
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
Springer-Verlag
1980
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