Sublinear function: Difference between revisions

Revision as of 23:09, 30 January 2023

Revision as of 23:10, 30 January 2023

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which yields many more inequalities, including, for instance,

<math display=block>p(x) + r_0 R + \mathbf{t} R ~<~ p\left(x + r_0 \mathbf{c_0}\right) + \mathbf{t} R ~<~ p\left(x + r_0 \mathbf{c_0} + \mathbf{t} \mathbf{c_0}\right)</math>

in which an expression on one side of a strict inequality <math>\,<\,</math> can be obtained from the other by replacing the symbol <math>R</math> with <math>\mathbf{c_0}</math> (or vice versa) and moving the closing parenthesis to the right (or left) of aban adjacent summand (all other symbols remain fixed and unchanged).

===Associated seminorm===