Abstract In this paper, we generalize the concepts of convexity, strict convexity and uniform convexity in the sense of non-Newtonian calculus. The main aim of this study is to obtain the non-Newtonian convexity, non-Newtonian strict convexity and non-Newtonian uniform convexity properties of the non-Newtonian sequence spaces lp(N).

中文翻译：

---

非牛顿序列空间 lp(N) 的一些几何性质

摘要 在本文中，我们概括了非牛顿微积分意义上的凸性、严格凸性和一致凸性的概念。本研究的主要目的是获得非牛顿序列空间 lp(N) 的非牛顿凸性、非牛顿严格凸性和非牛顿均匀凸性。