On weighted statistical convergence of difference sequences of fractional order

被引:1
|
作者
Aral, Nazlim Deniz [1 ]
机构
[1] Bitlis Eren Univ, Dept Math, TR-13000 Bitlis, Turkiye
来源
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 4期
关键词
Generalized difference sequences; Weighted statistical convergence; Statistical summability; SUMMABLE SEQUENCES; SPACES; ALPHA;
D O I
10.1007/s41478-023-00582-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, we introduce and examine Delta(a,b,c)(h) -statistically summability, weighted Delta(a,b,c)(h)-statistical convergence and Delta(a,b,c)(h) (Np,qCn1)r -summability and some inclusion relations between them. In addition, we define Delta(a,b,c)(h) [Np,qCn1,M,s]-summability with respect to an Orlicz function and examine some prpoperties of this new concept.
引用
收藏
页码:2563 / 2574
页数:12
相关论文
共 50 条
  • [1] On weighted statistical convergence of difference sequences of fractional order
    Nazlım Deniz Aral
    The Journal of Analysis, 2023, 31 : 2563 - 2574
  • [2] On the convergence and statistical convergence of difference sequences of fractional order
    Mursaleen, M.
    Baliarsingh, P.
    JOURNAL OF ANALYSIS, 2022, 30 (02): : 469 - 481
  • [3] On the convergence and statistical convergence of difference sequences of fractional order
    M. Mursaleen
    P. Baliarsingh
    The Journal of Analysis, 2022, 30 : 469 - 481
  • [4] WEIGHTED STATISTICAL CONVERGENCE OF ORDER a OF DIFFERENCE SEQUENCES
    Kandemir, Hacer Sengul
    Et, Mikail
    Cakalli, Huseyin
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 317 - 327
  • [5] On Lacunary Statistical Convergence of Order β of Difference Sequences of Fractional Order
    Aral, Nazlim Deniz
    Et, Mikail
    THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
  • [6] Generalized Lacunary Statistical Convergence of Order ß of Difference Sequences of Fractional Order
    Aral, Nazlim Deniz
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [7] I-LACUNARY STATISTICAL CONVERGENCE OF ORDER β OF DIFFERENCE SEQUENCES OF FRACTIONAL ORDER
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (01): : 43 - 55
  • [8] ON f-LACUNARY STATISTICAL CONVERGENCE OF ORDER β OF DOUBLE SEQUENCES FOR DIFFERENCE SEQUENCES OF FRACTIONAL ORDER
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 329 - 343
  • [9] Statistical Convergence of Order for Difference Sequences
    Altin, Y.
    Altinok, H.
    Colak, R.
    QUAESTIONES MATHEMATICAE, 2015, 38 (04) : 505 - 514
  • [10] On fractional double difference sequences and their statistical convergence
    S. Samantaray
    L. Nayak
    P. Baliarsingh
    The Journal of Analysis, 2022, 30 : 1753 - 1764