Minkowski’s inequality for two variable difference means

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Minkowski’s Inequality for Two Variable Difference Means

We study Minkowski’s inequality Da b(x1 + x2, y1 + y2) ≤ Da b(x1, y1) +Da b(x2, y2) (x1, x2, y1, y2 ∈ R+) and its reverse where Da b is the difference mean introduced by Stolarsky. We give necessary and sufficient conditions (concerning the parameters a, b) for the inequality above (and for its reverse) to hold.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1998

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-98-04125-2