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Optimal Bounds for Gaussian Arithmetic-Geometric Mean with Applications to Complete Elliptic Integral
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نویسنده
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wang h. ,qian w.-m. ,chu y.-m.
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منبع
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journal of function spaces - 2016 - دوره : 2016 - شماره : 0
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چکیده
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We present the best possible parameters α1,β1,α2,β2r and α3,β3(1/2,1) such that the double inequalities qα1(a,b)a1-α1(a,b)0 with a≠b,where a(a,b),q(a,b),and ag(a,b) are the arithmetic,quadratic,and gauss arithmetic-geometric means of a and b,respectively. as applications,we find several new bounds for the complete elliptic integrals of the first and second kind. © 2016 hua wang et al.
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آدرس
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department of mathematics and system science,national university of defense technology,changsha,china,department of mathematics,changsha university of science and technology,changsha, China, school of distance education,huzhou broadcast and tv university,huzhou, China, school of mathematics and computation sciences,hunan city university,yiyang, China
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Authors
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