Waterman classes and piecewise monotone approximations / A. N. Bakhvalov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 6. P. 46-48 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 259-261].
A neсessary and sufficient condition for a class of functions
with a given estimate on piecewise monotone
approximations to be embedded into the Waterman class
(of functions of bounded
Key words: piecewise monotone approximation, genezalized variation.