ROUGH LACUNARY STATISTICAL ANALYSIS OF ORDER n OF TRIPLE DIFFERENCE SEQUENCE SPACES

被引：0
|
作者：
Subramanian, Nagarajan [1 ]
Esi, Ayhan [2 ]
机构：
[1] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, India
[2] Malatya Turgut Ozal Univ, Fac Engn, Dept Basic Engn Sci, TR-44040 Malatya, Turkiye
来源：
JOURNAL OF SCIENCE AND ARTS | 2024年 / 01期
关键词：
Density; analytic sequence; Musielak-Orlicz function; triple sequences; statistical convergence; lacunary statistical convergence;
D O I：
10.46939/J.Sci.Arts-24.1-a05
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We generalized the concepts in the probability of rough lacunary statistical analysis of order n by introducing the difference operator A y " of fractional order, where a is a proper fraction and y = ( y mnk ) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence 8 and arbitrary sequence p = ( p rst ) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalize rough lacunary statistical analysis of order n of triple difference sequence spaces and give the relations between statistical analysis and lacunary statistical analysis of order n .
引用
收藏
页码：45 / 56
页数：12
相关论文
共 50 条
  • [31] Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences
    Et, Mikail
    Sengul, Hacer
    Cinar, Muhammed
    THIRD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES2018), 2018, 22
  • [32] 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
  • [33] Applications of statistical convergence of order (η, δ plus γ) in difference sequence spaces of fuzzy numbers
    Jasrotia, Swati
    Singh, Uday Pratap
    Raj, Kuldip
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 40 (03) : 4695 - 4703
  • [34] On a class of generalized lacunary difference sequence spaces defined by Orlicz functions
    Tripathy B.C.
    Mahanta S.
    Acta Mathematicae Applicatae Sinica, English Series, 2004, 20 (2): : 231 - 238
  • [35] Orlicz lacunary sequence spaces of l-fractional difference operators
    Raj, Kuldip
    Saini, Kavita
    Choudhary, Anu
    JOURNAL OF APPLIED ANALYSIS, 2020, 26 (02) : 173 - 183
  • [36] 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
  • [37] Effects on Rough I-Lacunary Statistical Convergence to Induce the Weighted Sequence
    Ghosal, Sanjoy
    Banerjee, Mandobi
    FILOMAT, 2018, 32 (10) : 3557 - +
  • [38] On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions
    Binod Chandra Tripathy
    Sabita Mahanta
    Acta Mathematicae Applicatae Sinica(English Series), 2004, (02) : 55 - 62
  • [39] ON QUASI ALMOST LACUNARY STRONG CONVERGENCE DIFFERENCE SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULI
    Khan, Vakeel A.
    Lohani, Q. M. Danish
    MATEMATICKI VESNIK, 2008, 60 (02): : 95 - 100
  • [40] Statistical summability through a lacunary sequence in locally solid Riesz spaces
    Syed Abdul Mohiuddine
    Mohammed A Alghamdi
    Journal of Inequalities and Applications, 2012
12345