Modulus of convergence

The modulus of convergence is a concept related to the convergence of sequences or series, particularly in the context of functional analysis or spaces of functions. It provides a measure of how 'strongly' a sequence converges. In the context of sequences of functions, particularly when dealing with normed vector spaces, the modulus of convergence helps to quantify the convergence of a sequence \((f_n)\) of functions to a function \(f\).