αβ-STATISTICAL CONVERGENCE ON TIME SCALES

被引:2
作者
Sozbir, Bayram [1 ]
Altundag, Selma [1 ]
机构
[1] Fac Arts & Sci, Dept Math, TR-54000 Sakarya, Turkey
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 01期
关键词
statistical convergence; time scale; delta measurable functions; Cesaro summable; SUMMABILITY;
D O I
10.22190/FUMI2001141S
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concepts of alpha beta-statistical convergence and strong alpha beta-Cesaro summability of delta measurable functions on an arbitrary time scale. Then some inclusion relations and results about these new concepts are presented. We will also investigate the relationship between statistical convergence and alpha beta-statistical convergence on a time scale.
引用
收藏
页码:141 / 150
页数:10
相关论文
共 50 条
  • [21] ON (λ, A) - STATISTICAL CONVERGENCE OF ORDER α
    Sengul, Hacer
    Koyun, Ozlem
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 2094 - 2103
  • [22] On statistical convergence and strong Cesaro convergence by moduli
    Leon-Saavedra, Fernando
    Listan-Garcia, M. del Carmen
    Perez Fernandez, Francisco Javier
    Romero de la Rosa, Maria Pilar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [23] Statistical convergence of multiple sequences on a product time scale
    Yilmaz, Emrah
    Altin, Yavuz
    Koyunbakan, Hikmet
    GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (03) : 485 - 492
  • [24] (A, φ)-Lacunary Statistical Convergence of Order α
    Savas, Ekrem
    FILOMAT, 2020, 34 (02) : 639 - 645
  • [25] Generalized Limits and Statistical Convergence
    Yurdakadim, T.
    Khan, M. K.
    Miller, H. I.
    Orhan, C.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1135 - 1149
  • [26] A new variant of statistical convergence
    Mohiuddine, Syed Abdul
    Alotaibi, Abdullah
    Mursaleen, Mohammad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [27] Lacunary Arithmetic Statistical Convergence
    Yaying, Taja
    Hazarika, Bipan
    NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2020, 43 (06): : 547 - 551
  • [28] Deferred Cesaro convergence and deferred statistical convergence in amenable semigroups
    Nuray, Fatih
    JOURNAL OF ANALYSIS, 2021, 29 (01) : 217 - 225
  • [29] On ρ- Statistical Convergence
    Aral, Nazlim Deniz
    Kandemir, Hacer Sengul
    Et, Mikail
    FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020), 2021, 2334
  • [30] ON μ-STATISTICAL CONVERGENCE
    Bilalov, B. T.
    Sadigova, S. R.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (09) : 3869 - 3878