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A sharp lower bound for Toader-Qi mean with applications
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نویسنده
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yang z.-h. ,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 prove that the inequality t q (a,b) > l p (a,b) holds for all a,b > 0 with a ≠ b if and only if p ≤ 3 / 2,where t q (a,b) = 2 / π ∫ 0 π / 2 a c o s 2 θ b s i n 2 θ d θ,l p (a,b) = [ (b p - a p) / (p (b - a)) ] 1 / p (p ≠ 0),and l 0 (a,b) = a b are,respectively,the toader-qi and p -order logarithmic means of a and b. as applications,we find two fine inequalities chains for certain bivariate means. © 2016 zhen-hang yang and yu-ming chu.
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آدرس
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school of mathematics and computation science,hunan city university,yiyang, China, school of mathematics and computation science,hunan city university,yiyang, China
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Authors
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