Clarkson's inequalities [SEP] named after
Clarkson's inequalities
In mathematics, Clarkson's inequalities, named after James A. Clarkson, are results in the theory of "L" spaces. They give bounds for the "L"-norms of the sum and difference of two measurable functions in "L" in terms of the "L"-norms of those functions individually.
Statement of the inequalities.
Let ("X", Σ, "μ") be a measure space; let "f", "g" : "X"
inequalities
- Chebyshev's sum inequality
- Clarkson's inequalities
- Eilenberg's inequality
- Fekete–Szegő inequality
- Fenchel's inequality
- Friedrichs's inequality
- Gagliardo–Nirenberg interpolation inequality
- Gårding's inequality
- Grothendieck inequality
- Grunsky's inequalities
- Hanner's inequalities
- Hardy's inequality
- Hardy–Littlewood inequality
- Hardy–Littlewood–Sobolev inequality
- Harnack's inequality
- Hausdorff–Young inequality
- Hermite–Hadamard inequality
- Hilbert's inequality