Regular matrix of interval numbers based on Fibonacci numbers

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• 作者：Shyamal Debnath ; Amar Jyoti Datta ; Subrata Saha
• 关键词：Regular matrix ; Interval number ; Fibonacci number ; Sequence space ; 11B39 ; 46B45 ; 40C05
• 刊名：Afrika Matematika
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：26
• 期：7-8
• 页码：1379-1385
• 全文大小：356 KB
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• 作者单位：Shyamal Debnath (1)
  Amar Jyoti Datta (2)
  Subrata Saha (1)
  
  1. Department of Mathematics, Tripura University, Suryamaninagar, Agartala, 799022, India
  2. Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Garchuk, Guwahati, 781035, India
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics Education
  Applications of Mathematics
  History of Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：2190-7668

文摘

The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose elements are interval numbers and define a regular matrix \(\bar{F}\) of interval numbers using fibonacci numbers and to introduce some new sequence spaces \(c_0^i( {\bar{F}})\), \(c^i ( {\bar{F}})\), \(l_\infty ^i ( {\bar{F}})\) based on the newly defined regular matrix of interval numbers \(\bar{F}\) and investigate some relations related to these spaces. Keywords Regular matrix Interval number Fibonacci number Sequence space