User:Vankhea11

The inequality by van khea
For a real convex fruction $$f:\mathbb{R}\longrightarrow \mathbb{R}_0^{+}$$ numbers $$a, b, c$$ in its domain $$a\leq b\leq c$$, and positive $$m\geq n, p\geq n$$ so we can write that:
 * $$m(c-b)f(a)-n(c-a)f(b)+p(b-a)f(c)\geq 0$$

For a real concave fruction $$f:\mathbb{R}\longrightarrow \mathbb{R}_0^{+}$$ numbers $$a, b, c$$ in its domain $$a\leq b\leq c$$, and positive $$m\leq n, p\leq n$$ so we can write that:
 * $$m(c-b)f(a)-n(c-a)f(b)+p(b-a)f(c)\leq 0$$