Attractive properties via generalized derivatives of continuous functions
Automatic differentiation and its program realization
Automatic differentiation is an effective method for evaluating derivatives of function, which is defined by a formula or a program. Program for evaluating of value of function is by automatic differentiation modified to program, which also evaluates values of derivatives. Computed values are exact up to computer precision and their evaluation is very quick. In this article, we describe a program realization of automatic differentiation. This implementation is prepared in the system UFO, but its...
Averages of quasi-continuous functions
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.