Generalized Lacunary Statistical Convergence of Order ß of Difference Sequences of Fractional Order

被引：0
作者：
Aral, Nazlim Deniz [1 ]
机构：
[1] Bitlis Eren Univ, Fac Arts & Sci, Dept Math, Bitlis, Turkiye
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
Difference sequence; statistical convergence; lacunary sequence; SUMMABILITY SPACES; ALPHA; LAMBDA;
D O I：
10.5269/bspm.50848
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using a modulus function we generalize the concepts of m-lacunary statistical convergence and m-lacunary strongly convergence (m is an element of N) to alpha-lacunary statistical convergence of order beta with the fractional order of alpha and alpha-lacunary strongly convergence of order beta with the fractional order of alpha ( where 0 < beta <= 1 and alpha be a fractional order).
引用
收藏
页数：1
相关论文
共 50 条
  • [1] On Lacunary Statistical Convergence of Order β of Difference Sequences of Fractional Order
    Aral, Nazlim Deniz
    Et, Mikail
    [J]. THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
  • [2] I-LACUNARY STATISTICAL CONVERGENCE OF ORDER β OF DIFFERENCE SEQUENCES OF FRACTIONAL ORDER
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (01): : 43 - 55
  • [3] ON f-LACUNARY STATISTICAL CONVERGENCE OF ORDER β OF DOUBLE SEQUENCES FOR DIFFERENCE SEQUENCES OF FRACTIONAL ORDER
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 329 - 343
  • [4] Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences
    Et, Mikail
    Sengul, Hacer
    Cinar, Muhammed
    [J]. THIRD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES2018), 2018, 22
  • [5] ON LACUNARY STATISTICAL BOUNDEDNESS OF ORDER α OF GENERALIZED DIFFERENCE SEQUENCES
    Temizsu, Fatih
    Aydin, Abdullah
    Mikail, Et
    Inar, Muhammed
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 15 (02): : 64 - 73
  • [6] Lacunary statistical convergence of order β in difference sequences of fuzzy numbers
    Altinok, Hifsi
    Yagdiran, Damla
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (01) : 227 - 235
  • [7] Lacunary Statistical Convergence of Order α for Generalized Difference Sequences and Summability Through Modulus Function
    Verma, A. K.
    Kumar, Sudhanshu
    [J]. MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 245 - 254
  • [8] Strongly lacunary convergence of order 13 of difference sequences of fractional order in neutrosophic normed spaces
    Aral, Nazlim Deniz
    Kandem, Hacer Senguil
    Et, Mikail
    [J]. FILOMAT, 2023, 37 (19) : 6443 - 6451
  • [9] On the convergence and statistical convergence of difference sequences of fractional order
    Mursaleen, M.
    Baliarsingh, P.
    [J]. JOURNAL OF ANALYSIS, 2022, 30 (02) : 469 - 481
  • [10] On the convergence and statistical convergence of difference sequences of fractional order
    M. Mursaleen
    P. Baliarsingh
    [J]. The Journal of Analysis, 2022, 30 : 469 - 481
12345