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  • Research Article
  • Open Access

A class of conservative four-dimensional matrices

Journal of Inequalities and Applications20062006:14721

  • Received: 5 October 2005
  • Accepted: 2 July 2006
  • Published:


The concepts and for double sequences were introduced by Patterson in 1999. In this paper, we have studied some new inequalities related to these concepts by using the RH-conservative four-dimensional matrices.


  • Double Sequence


Authors’ Affiliations

Faculty of Education, İnönü University, Malatya, 44280, Turkey


  1. Hamilton HJ: Transformations of multiple sequences. Duke Mathematical Journal 1936,2(1):29–60. 10.1215/S0012-7094-36-00204-1MathSciNetView ArticleGoogle Scholar
  2. Móricz F, Rhoades BE: Almost convergence of double sequences and strong regularity of summability matrices. Mathematical Proceedings of the Cambridge Philosophical Society 1988,104(2):283–294. 10.1017/S0305004100065464MathSciNetView ArticleMATHGoogle Scholar
  3. Mursaleen , Edely OHH: Almost convergence and a core theorem for double sequences. Journal of Mathematical Analysis and Applications 2004,293(2):532–540. 10.1016/j.jmaa.2004.01.015MathSciNetView ArticleMATHGoogle Scholar
  4. Patterson RF: Double sequence core theorems. International Journal of Mathematics and Mathematical Sciences 1999,22(4):785–793. 10.1155/S0161171299227858MathSciNetView ArticleMATHGoogle Scholar
  5. Pringsheim A: Zur Theorie der zweifach unendlichen Zahlenfolgen. Mathematische Annalen 1900,53(3):289–321. 10.1007/BF01448977MathSciNetView ArticleMATHGoogle Scholar
  6. Robison GM: Divergent double sequences and series. Transactions of the American Mathematical Society 1926,28(1):50–73. 10.1090/S0002-9947-1926-1501332-5MathSciNetView ArticleMATHGoogle Scholar