Sharp two-parameter bounds for the identric mean
نویسندگان
چکیده
منابع مشابه
New Bounds for the Identric Mean of Two Arguments
Given two positive real numbers x and y, let A(x, y), G(x, y), and I(x, y) denote their arithmetic mean, geometric mean, and identric mean, respectively. Also, let Kp(x, y) = p √ 2 3A p(x, y) + 13G p(x, y) for p > 0. In this note we prove that Kp(x, y) < I(x, y) for all positive real numbers x 6= y if and only if p ≤ 6/5, and that I(x, y) < Kp(x, y) for all positive real numbers x 6= y if and o...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1917-2