E. G. Belov, N. D. Livanov, “Linear convex sets and curves in linear norm”, Chelyab. Fiz.-Mat. Zh., 2017, Volume 2, Issue 1,Pages <nobr>10

Mathematics

Linear convex sets and curves in linear norm

E. G. Belov, N. D. Livanov

Chelyabinsk State University, Chelyabinsk, Russia

Abstract: The generalization of the concept of a convex set is considered in the article to the case of spaces with the linear norm. The linear trigonometry is investigated and the form of several classical curves is found in the linear norm.

Keywords: convex set, linear norm, linear triangle.

UDC: 514.127

Received: 21.10.2016
Revised: 17.02.2017