Lp spaces

Concepts

• Minkowski inequality 10 exercisesInequality stating that the L^p norm of a sum of functions is at most the sum of their L^p norms, for p ≥ 1.
• Riesz–Fischer theorem 10 exercisesThe Riesz-Fischer theorem states that the space L^p(μ) is complete for 1 ≤ p ≤ ∞ , that is, every Cauchy sequence in it converges…
• Cauchy sequence from Real analysis 10 exercisesA sequence (a_n) is Cauchy if, for every ε>0, there is an index N beyond which any two terms are less than ε apart.