In mathematical analysis, the Minkowski inequality establishes that the L p spaces are normed vector spaces.
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 ...
Thus, Minkowski's Integral Inequality is an integral version of the Triangle. Inequality (also known as Minkowski's Inequality) on Lº(R"). B.21. If x > 0 ...
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Minkowski's Inequality for Integrals. Let Isped and of be measurable on R" xR^2. If for a.e. (i) fy(x) = f(x,y) = LP (RMI). & (ii) || f(1,9) llp € L' (RM²).
13 nov 2014 · Then the generalized Minkowski integral inequality ρ(λ(fx)) ≤ Mλ(ρ(fy)) holds for all measurable functions f(x, y) and some fixed constant ...
Theorem 1.2. Minkowski's Inequality. Suppose f,g : Rn → R are Lebesgue measurable. Then. ||f + g||p ≤ ||f|| ...
If p>1, then Minkowski's integral inequality states that Similarly, if p>1 and a_k, b_k>0, then Minkowski's sum inequality states that ...
PDF | A number of integral inequalities of Hölder and Minkowski type involving a class of generalized weighted quasi-arithmetic means in integral form.
where k(x, y),Ψ(y) and Φ(x) are measurable so that Minkowski's integral inequality can be used. Example A10 (Minkowski's integral inequality of Fubini type) If ...
16 jul 2017 · In the present work, our objective is to provide some generalized Hölder's and Minkowski's inequalities for Jackson's q-integral. As ...
