Sharp Lehmer mean bounds for Neuman means with applications
نویسندگان
چکیده
منابع مشابه
Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means
and Applied Analysis 3 Lemma 1. The double inequality
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In this paper, we prove that the double inequalities [Formula: see text] hold for all [Formula: see text] with [Formula: see text] if and only if [Formula: see text], [Formula: see text] , [Formula: see text] and [Formula: see text] , where [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], [Formula: see text] are the Toader, geometric, arithmetic and two Neu...
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and Applied Analysis 3 It is the aim of this paper to find the best possible lower power mean bound for the Neuman-Sándor mean M(a, b) and to present the sharp constants α and β such that the double inequality α < M(a, b) I (a, b) < β (17) holds for all a, b > 0 with a ̸ = b. 2. Main Results Theorem 1. p0 = (log 2)/ log [2 log(1 + √2)] = 1.224 . . . is the greatest value such that the inequality...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2016
ISSN: 1846-579X
DOI: 10.7153/jmi-10-47