On functions of bounded $p$-variation
Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 799-819.

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In this article we obtain an asymptotic formula for the approximations to functions in the class $V_p^\alpha$ ($0\leqslant\alpha\infty$, $1\leqslant p\infty$) by Fourier sums in the metric of $L^p $ ($1\leqslant p$). We find sufficient conditions and also criteria for the continuity of the derivative $f^\alpha(t)$ of a function in the class $V_p^\alpha$. We also give some results on the Fourier coefficients of functions in the above class.
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     title = {On functions of bounded $p$-variation},
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B. I. Golubov. On functions of bounded $p$-variation. Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 799-819. http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a7/

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