New posts in Karamata Inequality

Minimum and maximum sum of squares given constraints

Upper Bound for a Sum

Number of real roots of $3^x+4^x=2^x+5^x$ with proof

Inequality $(1+x^k)^{k+1}\geq (1+x^{k+1})^k$

Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$

Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$

How prove this inequality

If a,b,c are sides of a triangle, prove: $ \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} $