Lacunary statistical convergence of rough triple sequence via ideals

被引:0
|
作者
Gurdal, Mehmet [1 ]
Kaya, Emel [1 ]
Savas, Ekrem [2 ]
机构
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye
[2] Usak Univ, Dept Math, TR-64000 Usak, Turkiye
关键词
Rough variable; rough space; ideal convergence; statistical convergence; ideal statistical Cauchy sequence; KOROVKIN;
D O I
10.1142/S1793557123501322
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we have introduced the notion of the lacunary I-statistical convergence of triple sequences for rough variables. In addition, we have defined lacunary I-statistical Cauchy sequence of rough variables in trust space and given the lacunary I-statistical completeness for trust space. Some important results have also been examined.
引用
收藏
页数:14
相关论文
共 50 条
  • [11] LACUNARY STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE
    Kisi, Omer
    Unal, Hatice Kubra
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 10 (03): : 277 - 286
  • [12] On asymptotically lacunary statistical equivalent functions via ideals
    Savas, Ekrem
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (01): : 35 - 40
  • [13] LACUNARY Iσ-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCE
    Kisi, Omer
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (02): : 507 - 520
  • [14] Lacunary Statistical Convergence Sequence in Neutrosophic Metric Space
    Johnsy, J.
    Jeyaraman, M.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (05): : 1493 - 1506
  • [15] WIJS']JSMAN LACUNARY STATISTICAL CONVERGENCE OF TRIPLE SEQUENCES WITH ORDER α
    Altaweel, Nifeen h.
    Rashid, M. H. M.
    Alshehri, Maryam g.
    Albalawi, Razan
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2024, 36 (02) : 187 - 207
  • [16] A generalized statistical convergence via ideals
    Savas, Ekrem
    Das, Pratulananda
    APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 826 - 830
  • [17] On lacunary σ-statistical convergence
    Karakaya, V
    INFORMATION SCIENCES, 2004, 166 (1-4) : 271 - 280
  • [18] ON LACUNARY Δm-STATISTICAL CONVERGENCE OF TRIPLE SEQUENCE IN INTUITIONISTIC FUZZY N-NORMED SPACE
    Jan, Asif hussain
    Jalal, Tanweer
    KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (03): : 349 - 361
  • [19] ON ROUGH LACUNARY STATISTICAL CONVERGENCE FOR DOUBLE SEQUENCES IN NEUTROSOPHIC NORMED SPACE
    Kisi, Omer
    Gurdal, Mehmet
    HONAM MATHEMATICAL JOURNAL, 2024, 46 (03): : 428 - 451
  • [20] Rough I2-lacunary statistical convergence of double sequences
    Kisi, Omer
    Dundar, Erdinc
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,