Optimal bounds for Toader mean in terms of arithmetic and contraharmonic means
نویسندگان
چکیده
منابع مشابه
Optimal Bounds for Toader Mean in Terms of Arithmetic and Contraharmonic Means
We find the greatest value α1 and α2 , and the least values β1 and β2 , such that the double inequalities α1C(a,b)+(1−α1)A(a,b) < T (a,b) < β1C(a,b)+(1−β1)A(a,b) and α2/A(a,b)+(1−α2)/C(a,b) < 1/T (a,b) < β2/A(a,b)+(1−β2)/C(a,b) hold for all a,b > 0 with a = b . As applications, we get new bounds for the complete elliptic integral of the second kind. Here, C(a,b) = (a2 +b2)/(a+b) , A(a,b) = (a+b...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2013
ISSN: 1846-579X
DOI: 10.7153/jmi-07-68