The work examines norms in of fundamental trigonometric splines of odd and even degrees, which in some cases coincide with polynomial ones. Fundamental trigonometric splines for the case where the con-vergence factors depend on the parameter are also considered. It is shown that an important characteristic of these splines of odd and even degrees is their complete variation. The semi-norms of trigonometric splines of odd degrees are also studied. The given material is illustrated by graphs; so, in particular, an illustration of the property of the least curvature of polynomial splines is given for the first time.

翻译：工作考察了奇度和偶度基本三角样条的规范,在某些情况下,这些样条与多角度样条相吻合。也考虑了同源系数取决于参数的情况的基本三角样条。显示这些奇度和偶度样条的一个重要特征是其完全的变异。还研究了奇度三角样条的半向。给定材料用图表加以说明;因此,特别是首次给出了多级样条最不曲线的属性说明。