EDB β€” 10P

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Exercises

  1. [10P] Prerequisites:[10M].Infer the version

    \begin{equation} βˆ‘_{i=1}^ nx_ i y_ i ≀ \| x\| _ p \| y\| _ q\quad ;\label{eq:dis_ Holder_ debole} \end{equation}
    19

    from [(11.14)]. In which case does equality apply?

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Bibliography
Book index
  • normed vector space
  • \( \Vert \cdot \Vert _p\) , in \( ℝ ^n\)
  • \( \Vert \cdot \Vert _\infty \) , in \( ℝ ^n\)
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