Sublinear

definition

Sublinear

definitiondef:sublinear_2025_8_19
Ā· by Aaron Ā·
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A map p:Vā†’Rp:V\to\mathbb{R} on a real vector space VV is sublinear if

p(x+y)ā‰¤p(x)+p(y)andp(Ī±x)=Ī±ā€‰p(x)Ā Ā forĀ allĀ x,yāˆˆV,Ā Ī±ā‰„0. p(x+y)\le p(x)+p(y)\quad\text{and}\quad p(\alpha x)=\alpha\,p(x)\ \text{ for all }x,y\in V,\ \alpha\ge 0.
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currentSublineardef:sublinear_2025_8_19

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Aaron Ā· primary

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