Affiliation:
1. Department of Mathematical Engineering , Faculty of Engineering and Natural Sciences Gümüşhane University , Gümüşhane , Turkey
Abstract
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).
Reference10 articles.
1. Agarwal, R. P.—O’Regan, D.—Sahu, D. R.: Fixed Point Theory for Lipschitzian-type Mappings with Applications, Springer, Dordrecht Heidelberg London New York, 2009.
2. Castillo, R. E.—Rafeiro, H.: An Introductory Course in Lebesgue Spaces, Springer International Publishing Switzerland, 2016.
3. Çakmak, A. F.—Başar, F.: Some new results on sequence spaces with respect to non-Newtonian calculus, J. Inequal. Appl. (2012), https://doi.org/10.1186/1029-242X-2012-228.
4. Duyar, C.—Sağir, B.—Oğur, O.: Some basic topological properties on non-Newtonian real line, British Journal of Mathematics and Computer Science 9(4) (2015), 295–302.
5. Duyar, C.—Erdoğan, M.: On non-Newtonian real number series, IOSR J. Math. 12(6) (2016), 34–48.
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献