Hölder condition

(redirected from Holder condition)

Hölder condition

[′hel·dər kən‚dish·ən]
(mathematics)
A function ƒ(x) satisfies the Hölder condition in a neighborhood of a point x0 if |ƒ(x) - ƒ(x0)| ≤ c |(x-x0)| n , where c and n are constants.
A function ƒ(x) satisfies a Hölder condition in an interval or in a region of the plane if |ƒ(x) - ƒ(y)| ≤ c|x - y |nfor all x and y in the interval or region, where c and n are constants.
References in periodicals archive ?
and G(t),g(t),[alpha]'(t) satisfy the Holder condition on [GAMMA] and G(t) [not equal to] 0, [alpha]'(t) [not equal to] 0.
Suppose that the functions G(t) and g(t) satisfy on L the Holder condition, the function [alpha](t) satisfies the Carleman condition (1.
k] (t) satisfy the Holder condition, the function [alpha](t) satisfies the Carleman condition (1.