Note on a Theorem of Kuratowski-Sierpiński
Note on functions satisfying the integral Hölder condition
Given a modulus of continuity and then denotes the space of all functions with the period on that are locally integrable in power and whose integral modulus of continuity of power (see(1)) is majorized by a multiple of . The moduli of continuity are characterized for which contains “many” functions with infinite “essential” variation on an interval of length .
Nouvelle démonstration d'un théorème sur les fonctions discontinues
O jedné třídě funkcí spojitých
O jednom úniku od spojitosti
On a problem of Matkowski
We solve Matkowski's problem for strictly comparable quasi-arithmetic means.
On a residual set of continuous functions
On a subclass of the family of Darboux functions
We investigate functions f: I → ℝ (where I is an open interval) such that for all u,v ∈ I with u < v and f(u) ≠ f(v) and each c ∈ (min(f(u),f(v)),max(f(u),f(v))) there is a point w ∈ (u,v) such that f(w) = c and f is approximately continuous at w.
On a theorem of Popa and Noiri on multifunctions
On almost continuous additive functions
On almost quasicontinuity
The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).
On Borsík's problem concerning quasiuniform limits of Darboux quasicontinuous functions
On Ciesielski's problems.
On cluster sets of arbitrary functions
On compositions and products of almost continuous functions
On connectivity points
On continuity and monotonicity of Darboux transformations.
On continuous interval functions
On Continuous Solutions of a Functional Inequality.
On derivatives of functions defined on disconnected sets, II