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キーワード:
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要旨:
Let f and g be monotone decreasing nonnegative functions on [0, ∞) and let F, G: [0, ∞)→ [0, 1] be integrable functions. Then I(fg)≥ I(fF)I(gG)\\over \\max(I(F), I(G)), where I(f)= \\int^∞0 f(t) dt. A weighted version is also given.\\par [Similar results were obtained in reviewer's paper in Arch. Math. 64, No. 5, 415-417 (1995; Zbl 0821.26018)].
