12 jul 2017 · I am interested in proving the following claims: Suppose that (X, M, μ) and (Y, N, ν) are σ-finite measure spaces, and let f be an (M⊗N)-measurable function ...

31 oct 2021 · A detailed proof of Minkowski's inequality for integrals ... How is the integral in this generalized Minkowski's inequality well-defined?

19 ene 2023 · The Minkowski integral inequality should hold in extreme generality, as long as one can approximate the function x↦fx with simple functions ...

3 ene 2018 · Problem: Let f be a measurable nonnegative function on [0,1]2, and 1≤r<p<∞. Then, show that (∫10(∫10fr(x,y)dy)p/r)1/p≤(∫10(∫10fp(x,y)dy)r/p)1/r.

18 nov 2019 · This is just Minkowski's inequality for integrals whose proof are easily available on the net.

10 may 2021 · I am studying the generalized minkowski inequality for integrals: Let be E⊂Rn, F⊂Rm, 1≤p≤∞, f measurable in E×F. Then.

20 nov 2020 · My version of the Minkowski's Integral Inequality is that, suppose (X1,M1,μ1) and (X2,M2,μ2) are complete σ-finite measure spaces and f is non- ...

28 nov 2012 · I am trying to find out when equality holds in Minkowski's inequality for L∞ (ie a necessary and sufficient condition for equality).

22 ago 2013 · In case 0<p<1, we have the following: |f+g|Lp(X,μ)≤2(1−p)/p(|f|Lp(X,μ)+gLp(X,μ)) for any f,g∈Lp(X,μ) and 0<p<1.

17 ago 2011 · Minkowski's (integral) inequality is an elementary inequality in the sense that it has many known proofs starting from different points of view.