We introduce and investigate the class of functions determined by limit sets for which at each point the intersection of the sets of left-hand and right-hand limit numbers is singleton containing value of function at this point. Next we generalize the notion of strong Świątkowski property by replacing in its denition the set of continuity points by the set of all points at which it is determined by limit sets. Mathematics Subject Classification (2010): Primary: 26A21, 54C30; Secondary: 26A15, 54C08
An introduction contains the short methodological agreement on symbols and on terms, on concepts and...
We show that every set of reals is a set of points of weakly sym-metry for some function f:R → N. 1 ...
AbstractLet B be an ideal of subsets of a metric space 〈X,d〉. This paper considers a strengthening o...
summary:The characterization of the pointwise limits of the sequences of Świątkowski functions is gi...
The purpose of this paper is to investigate properties of functions which are limits of functions wi...
This thesis analyzes properties of limit of real function of a single real variable. The properties ...
In this diploma thesis, we are interested in understanding which subsets of real numbers can be sets...
Summary. We define the proper and the improper limit of a real function at a point. The main propert...
Introduction. Given a topological space X and a real function f on X define Lf (X) = {x ∈ X: lim t→...
Summary. Let M and K be closed subsets of [0,1] with K a subset of the limit points of M. Necessary ...
In the paper by M. Filipczak, G. Ivanova and J. Wódka, Comparison of some families of real functions...
peer reviewedWe consider sequences of functions that have in some sense a universal distribution of ...
Abstract. A sequence S = {xn}n∈ω in a locally compact G-space X is called (strongly) limit-detecting...
summary:Let $M$ and $K$ be closed subsets of [0,1] with $K$ a subset of the limit points of $M$. Nec...
We consider a class of regulated functions of several variables, namely, the class of functions f de...
An introduction contains the short methodological agreement on symbols and on terms, on concepts and...
We show that every set of reals is a set of points of weakly sym-metry for some function f:R → N. 1 ...
AbstractLet B be an ideal of subsets of a metric space 〈X,d〉. This paper considers a strengthening o...
summary:The characterization of the pointwise limits of the sequences of Świątkowski functions is gi...
The purpose of this paper is to investigate properties of functions which are limits of functions wi...
This thesis analyzes properties of limit of real function of a single real variable. The properties ...
In this diploma thesis, we are interested in understanding which subsets of real numbers can be sets...
Summary. We define the proper and the improper limit of a real function at a point. The main propert...
Introduction. Given a topological space X and a real function f on X define Lf (X) = {x ∈ X: lim t→...
Summary. Let M and K be closed subsets of [0,1] with K a subset of the limit points of M. Necessary ...
In the paper by M. Filipczak, G. Ivanova and J. Wódka, Comparison of some families of real functions...
peer reviewedWe consider sequences of functions that have in some sense a universal distribution of ...
Abstract. A sequence S = {xn}n∈ω in a locally compact G-space X is called (strongly) limit-detecting...
summary:Let $M$ and $K$ be closed subsets of [0,1] with $K$ a subset of the limit points of $M$. Nec...
We consider a class of regulated functions of several variables, namely, the class of functions f de...
An introduction contains the short methodological agreement on symbols and on terms, on concepts and...
We show that every set of reals is a set of points of weakly sym-metry for some function f:R → N. 1 ...
AbstractLet B be an ideal of subsets of a metric space 〈X,d〉. This paper considers a strengthening o...