SOME GEOMETRIC PROPERTIES OF THE NON-NEWTONIAN SEQUENCE SPACES lp(N)

被引:14
|
作者
Gungor, Nihan [1 ]
机构
[1] Gumushane Univ, Fac Engn & Nat Sci, Dept Math Engn, Gumushane, Turkey
关键词
non-Newtonian sequence spaces; non-Newtonian convex; non-Newtonian strictly convex; non-Newtonian uniformly convex;
D O I
10.1515/ms-2017-0382
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 l(p)(N). (C) 2020 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:689 / 696
页数:8
相关论文
共 50 条
  • [21] Non-Newtonian Lebesgue Spaces with Their Basic Features
    Eryilmaz, I.
    JOURNAL OF MATHEMATICAL EXTENSION, 2024, 18 (07)
  • [22] Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field
    Kadak, Ugur
    Efe, Hakan
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [23] On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field
    Kadak, Ugur
    Kirisci, Murat
    Cakmak, Ahmet Faruk
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [24] Non-linear properties in Newtonian and non-Newtonian equations
    Hou, L
    Harwood, R
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (04) : 2497 - 2505
  • [25] Non-linear properties in Newtonian and non-Newtonian equations
    Hou, Lei
    Harwood, Ray
    Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (04): : 2497 - 2505
  • [26] Some topologic and geometric properties of new Catalan sequence spaces
    Karakas, Murat
    Dagli, Muhammet Cihat
    ADVANCES IN OPERATOR THEORY, 2023, 8 (01)
  • [27] On some geometric properties in Musielak-Orlicz sequence spaces
    Cui, YN
    Thompson, HB
    FUNCTION SPACES, PROCEEDINGS, 2000, 213 : 149 - 157
  • [28] A study of novel telephone sequence spaces and some geometric properties
    Yaying, Taja
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [29] Some topologic and geometric properties of new Catalan sequence spaces
    Murat Karakas
    Muhammet Cihat Dağlı
    Advances in Operator Theory, 2023, 8
  • [30] Vapour cavitation in very confined spaces for Newtonian and non-Newtonian fluids
    Ouibrahim, A
    Fruman, DH
    Gaudemer, R
    PHYSICS OF FLUIDS, 1996, 8 (07) : 1964 - 1971