Functionals depending on curvatures and surfaces with curvature measures
Functions of least gradient and BV functions
Further analysis on the “king and rook vs. king on a quarter-infinite board” problem.
Further remarks on extended umbral calculus
The paper deals with extensions of the finite operator calculus of G.-C. Rota called -extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known -analogue of umbral calculus. The article also contains glossaries of the most important terms and notations used by Ward, Viskov, Markowsky and Roman on one side and the Rota-oriented notations on the other side.
Fuzzy množiny - perspektivy, problémy a aplikace
Fuzzy sets and small systems
Independently with [7] a corresponding fuzzy approach has been developed in [3-5] with applications in measure theory. One of the results the Egoroff theorem has been proved in an abstract form. In [1] a necessary and sufficient condition for holding the Egoroff theorem was presented in the case of a space with a monotone measure. By the help of [2] and [6] we prove a variant of the Egoroff theorem stated in [4].