f-LACUNARY STATISTICAL CONVERGENCE AND STRONG f-LACUNARY SUMMABILITY OF ORDER α OF DOUBLE SEQUENCES

被引：8
|
作者：
Sengul, Hacer [1 ]
Et, Mikail [2 ]
Altin, Yavuz [2 ]
机构：
[1] Harran Univ, Fac Educ, Osmanbey Campus, TR-63190 Sanliurfa, Turkey
[2] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2020年 / 35卷 / 02期
关键词：
f -lacunary statistical convergence; strong f-lacunary summability; sequence spaces; SPACES;
D O I：
10.22190/FUMI2002495S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this article is to introduce the concepts of f -lacunary statistical convergence of order a and strong f -lacunary summability of order alpha of double sequences and give some inclusion relations between these concepts.
引用
收藏
页码：495 / 506
页数：12
相关论文
共 50 条
  • [21] Lacunary statistical convergence of double sequences of sets
    Nuray, Fatih
    Ulusu, Ugur
    Dundar, Erdinc
    SOFT COMPUTING, 2016, 20 (07) : 2883 - 2888
  • [22] Δf -Lacunary Statistical Boundedness of Order β for Sequences of Fuzzy Numbers
    Altinok, Hifsi
    Kasap, Mithat
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2023, 50 (02): : 371 - 382
  • [23] Lacunary statistical convergence of double sequences of sets
    Fatih Nuray
    Uğur Ulusu
    Erdinç Dündar
    Soft Computing, 2016, 20 : 2883 - 2888
  • [24] Lacunary Statistical Convergence of Order α for Generalized Difference Sequences and Summability Through Modulus Function
    Verma, A. K.
    Kumar, Sudhanshu
    MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 245 - 254
  • [25] Double almost lacunary statistical convergence of order α
    Ekrem Savaş
    Advances in Difference Equations, 2013
  • [26] Double almost lacunary statistical convergence of order α
    Savas, Ekrem
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [27] On lacunary statistical convergence of double sequences in credibility theory
    Savas, Rabia
    Gurdal, Mehmet
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2023, 52 (07) : 802 - 819
  • [28] On Pointwise Lacunary Statistical Convergence of Order α of Sequences of Function
    Mikail Et
    Hacer Şengül
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015, 85 : 253 - 258
  • [29] LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN TOPOLOGICAL GROUPS
    Savas, Ekrem
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 13 (04): : 31 - 36
  • [30] Lacunary statistical convergence of double sequences in topological groups
    Ekrem Savaş
    Journal of Inequalities and Applications, 2014
12345