On sequences of monotone functions. (English) Zbl 0941.26008

Several kinds of convergence (pointwise, uniform, a.c., transfinite) of monotone functions are studied. Namely, the author shows how an increasing function \(f:[a,b]\to \mathbb R\) can be expressed as a limit of certain sequences of monotone functions \(f_n\) converging to \(f\) in various senses.
Reviewer: Petr Gurka (Praha)


26A48 Monotonic functions, generalizations
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
26A21 Classification of real functions; Baire classification of sets and functions