## On a nonlinear $p$-inequality

13 Aug 2018  ·  Abdelhakim Ahmed A. ·

We obtain the necessary and sufficient conditions on real sequences $(\beta_{i})$ for the satisfaction of the generalized triangle inequality $$\|\sum_{i\geq 1} v_{i}\|^{p} \leq \sum_{i\geq 1}{{\beta_{i}} \| v_{i}\|^{p}}.\tag{I}$$ Sequences $(\beta_{i})$ for which the reverse of the inequality (I) holds are characterized as well...

PDF Abstract

# Code Add Remove Mark official

No code implementations yet. Submit your code now

# Categories

Functional Analysis