On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions

S. O. Klymchuk, M. V. Pratsiovytyi

We study one class of continuous functions $f$ defined on segment $[0,1]$ by equality $$ f(x)=δ_{α_1(x)1}+\sum^{\infty}_{k=2}\left[δ_{α_k(x)k}\prod^{k-1}_{j=1}g_{α_j (x)j}\rig…