f is bounded variation function iff there exist non-decreasing function g such that $\displaystyle f(x_2)-f(x_1) < g(x_2)-g(x_1)$ for $\displaystyle x_1 < x_2$
f is bounded variation function iff there exist non-decreasing function g such that $\displaystyle f(x_2)-f(x_1) < g(x_2)-g(x_1)$ for $\displaystyle x_1 < x_2$
Can anybody help me with this proof?