0<a,b,c<1

Proove that:

2^{a}(b+c)^{1-a}+2^{b}(a+c)^{1-b}+2^{c}(a+b)^{1-c}< 4(a+b+c) (Thinking) (or can be equal)

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- Apr 8th 2013, 03:37 AManod1996Inequality to the power of 1-a, 1-b, 1-c???
0<a,b,c<1

Proove that:

2^{a}(b+c)^{1-a}+2^{b}(a+c)^{1-b}+2^{c}(a+b)^{1-c}< 4(a+b+c) (Thinking) (or can be equal) - Apr 8th 2013, 05:32 AMtopsquarkRe: Inequality to the power of 1-a, 1-b, 1-c???