Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean

نویسندگان

  • Qing Ding
  • Tiehong Zhao
چکیده

In this paper, we find the greatest values [Formula: see text] and the smallest values [Formula: see text] such that the double inequalities [Formula: see text] and [Formula: see text] hold for all [Formula: see text] with [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] are the arithmetic-geometric, Toader and generalized logarithmic means of two positive numbers a and b, respectively.

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عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017