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An optimal double inequality between Seiffert and geometric means
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نویسنده
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chu y.-m. ,wang m.-k. ,wang z.-k.
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منبع
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journal of applied mathematics - 2011 - دوره : 2011 - شماره : 0
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چکیده
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For α,β ∈ (0,1/2) we prove that the double inequality g(αa + (1 - α)b,αb + (1 - α)a) < p (a,b) < g (βa + (1 - β)b,βb + (1 - β) a) holds for all a,b > 0 with a ≠ b if and only if α ≤ (1 -√1-4/π 2)/2 and β ≥ (3 - √3)/6. here,g(a,b) and p(a,b) denote the geometric and seiffert means of two positive numbers a and b,respectively. copyright © 2011 yu-ming chu et al.
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آدرس
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department of mathematics,huzhou teachers college, China, department of mathematics,huzhou teachers college, China, department of mathematics,hangzhou normal university, China
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Authors
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