Constructie pentru o functie arbitrara

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Filip Chindea
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Constructie pentru o functie arbitrara

Post by Filip Chindea »

Aratati ca pentru orice functie \( f : (0, \infty) \rightarrow (0, \infty) \) exista numere reale strict pozitive \( x, y \) astfel incat

\( f(x + y) < yf(f(x)) \).

[IMAR 2008, Problema 4]
Life is complex: it has real and imaginary components.
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