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Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE   2014 , Volume 38 , Number A1; Page(s) 61 To 68.
 
Paper: 

SOME INCLUSION RESULTS FOR LACUNARY STATISTICAL CONVERGENCE IN LOCALLY SOLID RIESZ SPACES

 
 
Author(s):  HAZARIKA B., MOHIUDDINE S.A.*, MURSALEEN M.
 
* DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, KING ABDULAZIZ UNIVERSITY, JEDDAH 21589, SAUDI ARABIA
 
Abstract: 

Recently, Mohiuddine and Alghamdi introduced the notion of lacunary statistical convergence in a locally solid Riesz space and established some results related to this concept. In this paper, some inclusion relations between the sets of statistically convergent and lacunary statistically convergent sequences are established and extensions of a decomposition theorem, a Tauberian theorem to the locally solid Riesz space setting are proved. Further, we introduce the concepts of q-summable and statistically lacunary convergence in locally solid Riesz space and establish a relationship between them.

 
Keyword(s): LACUNARY DENSITY, LACUNARY SEQUENCE, STATISTICAL CONVERGENCE, STATISTICALLY CAUCHY, LOCALLY SOLID RIESZ SPACE
 
 
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Click to Cite.
APA: Copy

HAZARIKA, B., & MOHIUDDINE, S., & MURSALEEN, M. (2014). SOME INCLUSION RESULTS FOR LACUNARY STATISTICAL CONVERGENCE IN LOCALLY SOLID RIESZ SPACES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 38(A1), 61-68. https://www.sid.ir/en/journal/ViewPaper.aspx?id=402317



Vancouver: Copy

HAZARIKA B., MOHIUDDINE S.A., MURSALEEN M.. SOME INCLUSION RESULTS FOR LACUNARY STATISTICAL CONVERGENCE IN LOCALLY SOLID RIESZ SPACES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE. 2014 [cited 2021May12];38(A1):61-68. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402317



IEEE: Copy

HAZARIKA, B., MOHIUDDINE, S., MURSALEEN, M., 2014. SOME INCLUSION RESULTS FOR LACUNARY STATISTICAL CONVERGENCE IN LOCALLY SOLID RIESZ SPACES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, [online] 38(A1), pp.61-68. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=402317.



 
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