Displaying 61 – 80 of 434

Showing per page

On almost periodicity defined via non-absolutely convergent integrals

Dariusz Bugajewski, Adam Nawrocki (2025)

Czechoslovak Mathematical Journal

We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.

On almost quasicontinuity

Anna Neubrunnová, Tibor Šalát (1992)

Mathematica Bohemica

The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).

On an inequality of Gauss.

Horst Alzer (1991)

Revista Matemática de la Universidad Complutense de Madrid

In this note we prove a new extension and a converse of an inequality due to Gauss.

Currently displaying 61 – 80 of 434