3 papers
math.CA2024
The Hausdorff-integral on h-measure spaces and its applications
Attila Losonczi
We are going to widen the scope of the previously defined Hausdorff-integral in two ways. First, in the sense, that we develop the theory of the integral on some naturally generali…
math.CA2024
The Hausdorff-integral and its applications
Attila Losonczi
We present a new type of integral that is supposed to extend the usability of the Lebesgue integral in certain types of investigations. It is based on the Hausdorff dimension and m…
math.GM2021
Small perturbations on means and quasi-means
Attila Losonczi
We start to investigate how small changes on the definition of ordinary means affect their properties. Especially the property of being a mean. In that direction we are looking for…