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


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… (More)
DOI: 10.1186/s13660-017-1365-4

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