If-a-b-c-gt-0-and-n-N-then-a-2n-b-2n-c-2n-a-n-b-n-b-n-c-n-c-n-a-n-3-a-2-b-2-c-2-a-b-c-

Question Number 154493 by mathdanisur last updated on 18/Sep/21

If a; b; c > 0 and n \in N^{+} then :

\frac{a^{2 n} + b^{2 n} + c^{2 n}}{a^{n} b^{n} + b^{n} c^{n} + c^{n} a^{n}} ⩾ \frac{\sqrt{3 \cdot (a^{2} + b^{2} + c^{2})}}{a + b + c}