线性规划理论中对偶定理的推广

Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1966-01-01 DOI:10.32917/HMJ/1206139186

M. Ohtsuka

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引用次数: 11

摘要

线性规划理论中著名的对偶定理断言，如果Jίφ0和M< 0，则Jί'Φtf和M=M'。我们将在本文中推广这个定理。设X和Y是紧的Hausdorff空间，并且Φ(X， γ)是XxY上的一个普遍可测函数，它在下面有界。设g(χ)是X上有界的普遍可测函数，/(γ)是Y上有界的普遍可测函数。在这些一般情况下，让Jί为所有非负氡度量μ Y满足的类

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A generalization of duality theorem in the theory of linear programming

The well-known duality theorem in the theory of linear programming asserts that, if Jίφ0 and M

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