Functionals depending on curvatures and surfaces with curvature measures
Functions of least gradient and BV functions
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 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].