On an inequality for the sum of infimums of functions (Q1353591)

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scientific article; zbMATH DE number 1005591
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On an inequality for the sum of infimums of functions
scientific article; zbMATH DE number 1005591

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    On an inequality for the sum of infimums of functions (English)
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    3 July 1997
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    Uniform proofs are offered for seven known and two new generalizations of Hölder, Minkowski, and arithmetic-geometric-mean type functional equations. They are based on the statement that the infimum of a sum of functions is not smaller than the sum of their infima.
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    generalizations
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    minimization
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    Hölder inequality
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    Minkowski inequality
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    arithmetic-geometric mean type inequality
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