Periodic dyadic wavelets and coding of fractal functions

Recently, using the Walsh–Dirichlet type kernel, the first author has defined periodic dyadic wavelets on the positive semiaxis which are similar to the Chui–Mhaskar trigonometric wavelets. In this paper we generalize this construction and give examples of applications of periodic dyadic wavelets for coding the Riemann, Weierstrass, Schwarz, van der Waerden, Hankel, and Takagi fractal functions.