In real analysis, a branch of mathematics, a modulus of convergence is a function that tells how quickly a convergent sequence converges. These moduli are often employed in the study of computable analysis and constructive mathematics.

If a sequence of real numbers there is a natural number.

Examples

is a convergent sequence of real numbers with limit. There are two common ways of defining a modulus of convergence as a function from natural numbers to natural numbers:

• .

• .

.

See also

• Modulus of continuity

References

• Klaus Weihrauch (2000), Computable Analysis.