Multiplicative Concavity of the Integral of Multiplicatively Concave Functions

نویسندگان

  • Yu-Ming Chu
  • Xiao-Ming Zhang
چکیده

Copyright q 2010 Y.-M. Chu and X.-M. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We prove that G x, y | ∫x y f t dt| is multiplicatively concave on a, b × a, b if f : a, b ⊂ 0,∞ → 0,∞ is continuous and multiplicatively concave.

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تاریخ انتشار 2010