On a theorem of Popa and Noiri on multifunctions
We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
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.).
In this note we prove a new extension and a converse of an inequality due to Gauss.