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Minkowski Integral Inequality
For suitable functions:
$$\left(\int_a^b|f(x)+g(x)|^p\,dx\right)^{1/p}\leq\left(\int_a^b|f(x)|^p\,dx\right)^{1/p}+\left(\int_a^b|g(x)|^p\,dx\right)^{1/p}$$
Usage
- Used in advanced inequality and norm problems.
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Minkowski Integral Inequality
For suitable functions:
$$\left(\int_a^b|f(x)+g(x)|^p\,dx\right)^{1/p}\leq\left(\int_a^b|f(x)|^p\,dx\right)^{1/p}+\left(\int_a^b|g(x)|^p\,dx\right)^{1/p}$$
Usage
- Used in advanced inequality and norm problems.
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