11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.GM2021
Interval chains and completeness in ultrapowers of ordered sets
Zoltán Boros, Péter Tóth
The ultrapower of an arbitrary ordered set is introduced as an infinitesimal extension of . It is obtained as the set of equivalence classes of the sequences in $…
math.CA2014
A dichotomy property for the graphs of monomials
J. M. Almira, Z. Boros
We prove that the graph of a discontinuous -monomial function is either connected or totally disconnected. Furthermore, the discontinuous monomial fu…
math.CA2013★ 11 cited
Hyers--Ulam stability of derivations and linear functions
Zoltán Boros, Eszter Gselmann
In this paper the following implication is verified for certain basic algebraic curves: if the additive real function approximately (i.e., with a bounded error) satisfies the d…