Recent content by matt_747

ω(f;[a,b];δ)= sup |f(x)-f(y)| that x,y ϵ[a,b] and |x-y|≤δ

If f is an even function on [-a,a] , show that ω(f;[-a,a];δ) = ω(f;[0,a];ε) . help will be appreciated so much

Assume f > g two measurable function on [a,b] and E={(x,y) : g(x)≤y≤f(x), x ∈ [a,b]} Show ∫ (f-g) dm = m×m E . that m is lebesgue measure. (limits of integration is a,b) help will be appreciated so much