Estimates for Neuman-Sándor mean by power means and their relative errors
نویسندگان
چکیده
منابع مشابه
Estimates for Neuman–sándor Mean by Power Means and Their Relative Errors
For a,b > 0 with a = b , let NS (a,b) denote the Neuman-Sándor mean defined by NS (a,b) = a−b 2arcsinh a−b a+b and Ap (a,b) , Lp (a,b) denote the r -order power and Lehmer means. Based on our earlier worker [27], we prove that αpAp < NS < Ap and Ap < NS βpAp holds if and only if p 4/3 and p p0 , respectively, where αp = ( 21/p−1 ) / ln(1+ √ 2) if p ∈ [1/4/3,∞), βp = ⎪⎨ ⎪⎩ NS (1,x0)/Ap (1,x0) if...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2013
ISSN: 1846-579X
DOI: 10.7153/jmi-07-65