  We study H\"older continuity, $p^\mathrm{th}$-variation function and Riesz
variation of Weierstrass-type functions along a sequence of $b$-adic
partitions, where $b>1$ is an integer. By a Weierstrass-type function, we mean
that in the definition of the well-known Weierstrass function, the power
function is replaced by a submultiplicative function, and the Lipschitz
continuous cosine and sine functions are replaced by a general H\"older
continuous function. Our results extend some of the recent results of Schied
and Zhang (2020, 2024).
