Some Double Lacunary Sequence Spaces defined by Orlicz Functions

被引：0
|
作者：
Savas, E. [1 ]
Patterson, R. F. [2 ]
机构：
[1] Istanbul Commerce Univ, Dept Math, Uskudar Istanbul, Turkey
[2] Univ North Florida, Dept Math & Stat, Jacksonville, FL 32224 USA
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2011年 / 35卷 / 01期
关键词：
Orlicz function; Lacunary strong P-convergent sequences; Double Lacunary sequences;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space. We also show that if a sequence is lacunary strong P-convergence with respect to an Orlicz function then it is 8 theta(r,s),-convergent. In addition, lacunary strong P-convergent with respect to an Orlicz function is compared to other summability methods.
引用
收藏
页码：103 / 110
页数：8
相关论文
共 50 条
  • [1] RIESZ LACUNARY ALMOST CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
    Konca, Sukran
    Basarir, Metin
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (01): : 169 - 186
  • [2] Some Lacunary Difference Sequence Spaces defined by Musielak-Orlicz Functions
    Hazarika, Bipan
    [J]. THAI JOURNAL OF MATHEMATICS, 2011, 9 (03): : 659 - 671
  • [3] SOME LACUNARY DIFFERENCE SEQUENCE SPACES DEFINED BY MUSIELAK-ORLICZ FUNCTIONS
    Hazarika, Bipan
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2011, 4 (04) : 613 - 626
  • [4] On some I-convergent generalized difference lacunary double sequence spaces defined by orlicz functions
    Hazarika, Bipan
    Esi, Ayhan
    [J]. ACTA SCIENTIARUM-TECHNOLOGY, 2013, 35 (03) : 527 - 537
  • [5] Double sequence spaces defined by Orlicz functions
    Savas, E.
    Patterson, R. F.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2007, 31 (A2): : 183 - 188
  • [6] Lacunary Ap-summable sequence spaces defined by Orlicz functions
    Bilgin, Tunay
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2006, 46 (02): : 367 - 376
  • [7] SOME DOUBLE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY ORLICZ FUNCTIONS
    Tripathy, Binod Chandra
    Sarma, Bipul
    [J]. ACTA MATHEMATICA SCIENTIA, 2011, 31 (01) : 134 - 140
  • [8] Some λ-sequence spaces defined by Orlicz functions
    Savas, E
    Savas, R
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (12): : 1673 - 1680
  • [9] SOME DOUBLE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY ORLICZ FUNCTIONS
    Binod Chandra Tripathy
    Bipul Sarma
    [J]. Acta Mathematica Scientia, 2011, 31 (01) : 134 - 140
  • [10] On a class of generalized lacunary difference sequence spaces defined by Orlicz functions
    Tripathy B.C.
    Mahanta S.
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2004, 20 (2): : 231 - 238
12345