Almeida, Ricardo On the continuity of functions. (English) Zbl 1155.26314 Appl. Sci. 9, 1-4 (2007). Summary: Some theorems on continuity are presented. First we will prove that every convex function \(f\:\mathbb R^n\to\mathbb R\) is continuous using nonstandard analysis methods. Then we prove that if the image of every compact (resp. convex) is compact (resp. convex), then the function is continuous. MSC: 26E35 Nonstandard analysis 52A41 Convex functions and convex programs in convex geometry 54C05 Continuous maps PDFBibTeX XMLCite \textit{R. Almeida}, Appl. Sci. 9, 1--4 (2007; Zbl 1155.26314) Full Text: EuDML