modulus of continuity


modulus of continuity

[′mäj·ə·ləs əv ‚känt·ən′ü·əd·ē] (mathematics) For a real valued continuous function ƒ, this is the function whose value at a real number r is the maximum of the modulus of ƒ(x) - ƒ(y) where the modulus of x-y is less than r; this function is useful in approximation theory.