Tauberian Theorems for Sequences in 2-Normed Spaces

被引：0
|
作者：
Rahmet Savaş
Sefa Anıl Sezer
机构：
[1] İstanbul Medeniyet University,Department of Mathematics
来源：
Results in Mathematics | 2017年 / 72卷
关键词：
Tauberian theorems; 2-normed spaces; slowly oscillating sequences; two-sided Tauberian conditions; 40E05; 40A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we initiate the study of Tauberian theorems for sequences in 2-normed spaces. We introduce a necessary and sufficient Tauberian condition for (C, 1) summable sequences in such spaces. Corollaries allow this condition to be replaced by 2-normed analogues of Schmidt-type slow oscillation condition or Hardy-type two-sided condition.
引用
收藏
页码：1919 / 1931
页数：12
相关论文
共 50 条
  • [1] Tauberian Theorems for Sequences in 2-Normed Spaces
    Savas, Rahmet
    Sezer, Sefa Anil
    RESULTS IN MATHEMATICS, 2017, 72 (04) : 1919 - 1931
  • [2] Tauberian theorems via the generalized Norlund mean for sequences in 2-normed spaces
    Loku, Valdete
    Braha, Naim L.
    Mursaleen, Mohammad
    ANNALES MATHEMATICAE ET INFORMATICAE, 2022, 55 : 114 - 124
  • [3] On Ideal Convergent Sequences in 2-Normed Spaces
    Gurdal, M.
    THAI JOURNAL OF MATHEMATICS, 2006, 4 (01): : 85 - 91
  • [4] STATISTICALLY LOCALIZED SEQUENCES IN 2-NORMED SPACES
    Yamanci, Ulas
    Nabiev, Anar Adiloglu
    Gurdal, Mehmet
    HONAM MATHEMATICAL JOURNAL, 2020, 42 (01): : 161 - 173
  • [5] On I-Cauchy sequences in 2-normed spaces
    Gurdal, Mehmet
    Acik, Isil
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (02): : 349 - 354
  • [6] ON TRIPLE SEQUENCES IN GRADUAL 2-NORMED LINEAR SPACES
    Demirci, Isil Acik
    Dermencioglu, Gulsum
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (02): : 291 - 306
  • [7] Cesaro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems
    Talo, Ozer
    Yavuz, Enes
    SOFT COMPUTING, 2021, 25 (03) : 2315 - 2323
  • [8] Ideal convergence of double sequences in random 2-normed spaces
    Mohiuddine, Syed Abdul
    Alotaibi, Abdullah
    Alsulami, Saud M.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [9] ON STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN RANDOM 2-NORMED SPACES
    Alotaibi, Abdullah M.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2010, 1 (02): : 17 - 22
  • [10] On I-Convergence of Sequences of Functions in 2-Normed Spaces
    Arslan, Mukaddes
    Dundar, Erdinc
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2018, 42 (04) : 491 - 502
12345