Research Article

Statistical Convergence of Matrix Sequences

Volume: 12 Number: 1 April 30, 2024
EN

Statistical Convergence of Matrix Sequences

Abstract

This paper extends the statistical convergence of real or complex numbers to the real square matrices sequences . In this context, we investigate the relation between the statistical convergence, statistical Cauchy condition, strong Cesaro summability of matrices sequences. This leads us to an initial analysis of the Tauberian conditions for the statistical convergence of matrix sequences.

Keywords

References

  1. [1] M. Baronti, and P. Papini, Convergence of sequences of sets, Methods of functional analysis in approximation theory,76, Birkhauser-Verlag, Basel,(1986), 133–155.
  2. [2] G. Beer, On convergence of closed sets in a metric space and distance functions, Bull. Aust. Math. Soc., 31, (1985), 421—432.
  3. [3] G. Beer, Wijsman convergence: A survey, Set-Valued Var. Anal., 2, (1994), 77—94.
  4. [4] J. Connor, The statistical and strong p-Ces`aro convergence of sequences, Analysis, 8 (1988) 46–63. [5] H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951) 241–244.
  5. [6] J. A. Fridy, On statistical convergence, Analysis, 5 (1985,) 301–313.
  6. [7] J.A. Fridy and C. Orhan, Lacunary statistical summability, J. Math. Anal. Appl., 173 (1993), 497–504.
  7. [8] J.A. Fridy, and M.K. Khan, Tauberian theorems via statistical convergence, J. Math. Anal. Appl., 228 (1998), 73–95.
  8. [9] A.D. Gadjiev, and C. Orhan, Some approximation theorems via statistical convergence, Rocky Mountain J. of Math., 32(1) (2002), 129–138.

Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Early Pub Date

April 29, 2024

Publication Date

April 30, 2024

Submission Date

March 12, 2024

Acceptance Date

April 16, 2024

Published in Issue

Year 2024 Volume: 12 Number: 1

APA
Nuray Yıldırım, E. (2024). Statistical Convergence of Matrix Sequences. Konuralp Journal of Mathematics, 12(1), 74-79. https://izlik.org/JA36WX86ZH
AMA
1.Nuray Yıldırım E. Statistical Convergence of Matrix Sequences. Konuralp J. Math. 2024;12(1):74-79. https://izlik.org/JA36WX86ZH
Chicago
Nuray Yıldırım, Elif. 2024. “Statistical Convergence of Matrix Sequences”. Konuralp Journal of Mathematics 12 (1): 74-79. https://izlik.org/JA36WX86ZH.
EndNote
Nuray Yıldırım E (April 1, 2024) Statistical Convergence of Matrix Sequences. Konuralp Journal of Mathematics 12 1 74–79.
IEEE
[1]E. Nuray Yıldırım, “Statistical Convergence of Matrix Sequences”, Konuralp J. Math., vol. 12, no. 1, pp. 74–79, Apr. 2024, [Online]. Available: https://izlik.org/JA36WX86ZH
ISNAD
Nuray Yıldırım, Elif. “Statistical Convergence of Matrix Sequences”. Konuralp Journal of Mathematics 12/1 (April 1, 2024): 74-79. https://izlik.org/JA36WX86ZH.
JAMA
1.Nuray Yıldırım E. Statistical Convergence of Matrix Sequences. Konuralp J. Math. 2024;12:74–79.
MLA
Nuray Yıldırım, Elif. “Statistical Convergence of Matrix Sequences”. Konuralp Journal of Mathematics, vol. 12, no. 1, Apr. 2024, pp. 74-79, https://izlik.org/JA36WX86ZH.
Vancouver
1.Elif Nuray Yıldırım. Statistical Convergence of Matrix Sequences. Konuralp J. Math. [Internet]. 2024 Apr. 1;12(1):74-9. Available from: https://izlik.org/JA36WX86ZH
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