EnglishMinkowski inequality for integrals
Statements
![{\displaystyle \left(\int _{a}^{b}(f(x)+g(x))^{p}\,\mathrm {d} x\right)^{1/p}\leq \left(\int _{a}^{b}(f(x))^{p}\,\mathrm {d} x\right)^{1/p}+\left(\int _{a}^{b}(g(x))^{p}\,\mathrm {d} x\right)^{1/p},p>1,f(x)\geq 0,g(x)\geq 0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/17403f8cd35d5f8aefef50a64b935c904a5ce27a)
![{\displaystyle f}](https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61)
![{\displaystyle g}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d3556280e66fe2c0d0140df20935a6f057381d77)
![{\displaystyle p}](https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36)
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