This paper explores the generalization of the method for extracting Riemann trigonometric B-splines and Riemann kernels of trigonometric interpolation splines of arbitrary order on different grids of stitching and interpolation. It is demonstrated that for various combinations of stitching and interpolation grids, distinct trigonometric B-splines exist. The theoretical principles are illustrated through a numerical example. The obtained results can have various practical applications.

翻译：本文探讨了在不同拼接与插值网格上提取任意阶Riemann三角B样条及三角插值样条Riemann核的方法推广。研究表明，对于拼接与插值网格的不同组合，存在不同的三角B样条。通过数值实例阐释了相关理论原理，所得结果可应用于多个实践领域。