Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Jensen equation on curves

Sortuj według:

Ogranicz wyniki do:

The law of large numbers and a functional equation

100%

Sablik M.

Annales Polonici Mathematici

1998

tom 68

nr 2

165-175

We deal with the linear functional equation (E) $g(x) = ∑^r_{i=1} p_i g(c_i x)$, where g:(0,∞) → (0,∞) is unknown, $(p₁,...,p_r)$ is a probability distribution, and $c_i$'s are positive numbers. The equation (or some equivalent forms) was considered earlier under different assumptions (cf. [1], [2], [4], [5] and [6]). Using Bernoulli's Law of Large Numbers we prove that g has to be constant provided it has a limit at one end of the domain and is bounded at the other end.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Sablik M.

1 1998

Wyniki wyszukiwania

The law of large numbers and a functional equation