Aequationes mathematicae
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A class of 4-pseudomanifolds similar to the lens spaces
Aequationes mathematicae - - 1987
A family of 4-dimensional pseudomanifolds is introduced using a standard graph-theoretical representation of lens spaces Some homeomorphisms between these “lens-like” spaces are established, the computation of their fundamental groups and of bounds for their genera are carried out
The chromatic number of triangle-free and broom-free graphs in terms of the number of vertices
Aequationes mathematicae - Tập 95 - Trang 319-328 - 2020
The Gárfás–Sumner conjecture asks whether for every tree T, the class of (induced) T-free graphs is
$$\chi $$
-bounded. The conjecture is solved for several special trees, but it is still open in general. Motivated by the conjecture, the chromatic number of triangle-free and broom-free graphs is we...... hiện toàn bộ
On the general solutions of three functional equations
Aequationes mathematicae - Tập 96 - Trang 325-338 - 2021
The general solutions of the functional equations
$$\begin{aligned} F(pq)= & {} q^\alpha G(p)+p^\alpha H(q)+K(p)L(q),\\ F(pq)= & {} q^\beta G(p)+p^\alpha H(q)+cK(p)K(q) \end{aligned}$$
and
$$\begin{aligned} f(pq)=q^\alpha f(p)+p^...... hiện toàn bộ
On a theorem of Daróczy, Lajkó and Székelyhidi
Aequationes mathematicae - Tập 19 - Trang 319-319 - 1979
Second order iterative functional equations related to a competition equation
Aequationes mathematicae - Tập 89 - Trang 107-117 - 2014
The functional equation related to competition ([2])
$$f\left( \frac{x+y}{1-xy}\right) =\frac{f\left( x\right) +f\left(y\right)} {1+f\left( x\right) f\left( y\right)},\qquad x,y\in\mathbb{R}, xy\neq 1,$$
for y = cx with a fixed c > 0, leads to the...... hiện toàn bộ
On means generated through the Cauchy mean value theorem
Aequationes mathematicae - Tập 60 - Trang 1-14 - 2000
Cauchy means are defined as those obtained from applying the Cauchy mean value theorem to a pair of suitable functions. A so-called mixing operator is defined, in such a way that each Cauchy mean is the unique fixed point of the mixing operator associated with two quasiarithmetic means. As a consequence, some comparison results for Cauchy means are obtained, together with a functional characteriz...... hiện toàn bộ
Convergence in measure and in category, similarities and differences
Aequationes mathematicae - Tập 90 - Trang 99-105 - 2016
Convergence in category of a sequence of real-valued functions has been introduced by E. Wagner as an analogue of convergence in measure. In the paper it is shown that in some circumstances both kinds of convergence behave similarly, but sometimes the behaviour is different.
Correction To: Weak limit of iterates of some random-valued functions and its application
Aequationes mathematicae - Tập 94 - Trang 427-427 - 2020
In the original publication, Example 2.2 was incorrectly published.
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