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ON DEFERRED CESÀRO MEAN IN PARANORMED SPACES

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The aim of the present study is to introduce the concepts of deferred statistical convergence, deferred statistical Cauchy sequence and deferred Cesàro summability in paranormed spaces. We investigate some properties of these concepts and some inclusion relations with examples.

Abstract

The aim of the present study is to introduce the concepts of deferred statistical convergence, deferred statistical Cauchy sequence and deferred Cesàro summability in paranormed spaces. We investigate some properties of these concepts and some inclusion relations with examples.

참고문헌 (26)

  1. R. P. Agnew, "On deferred Cesaro Mean", Comm. Ann. Math, 33, pp.413~421 (1932)
  2. A. Alotaibi, "Statistical convergence in a paranormed space", J. Inequal. Appl, 2012(39), pp.6~ (2012)
  3. M. Altınok, "On deferred statistical convergence of sequences of sets in metric space", TJMCS, pp.9~ (2015)
  4. M. Candan, "Paranormed sequence space of non-absolute type founded using general-ized difference matrix", Proc. Nat. Acad. Sci. India Sect. A, 85(2), pp.269~276 (2015)
  5. M. Candan, "A new perspective on paranormed Riesz sequence space of non-absolute type", Glob. J. Math. Anal, 3(4), pp.150~163 (2015)
  6. J. S. Connor, "The statistical and strong p-Cesaro of sequences", Analysis, 8, pp.47~63 (1988)
  7. S. Ercan, "On deferred weak statistical convergence", J. Anal (2020)[DOI]
  8. H. Fast, "Sur la convergence statistique", Colloq. Math, 2, pp.241~244 (1951)
  9. J. A. Fridy, "On statistical convergence", Analysis, 5, pp.301~313 (1985)
  10. M. ˙Ilkhan, "A new type of statistical Cauchy sequence and its relation to Bourbaki completeness", Cogent Math. Stat, 5(1), pp.9~ (2018)
  11. M. ˙Ilkhan, "On statistical convergence in quasi-metric spaces", Demonstr. Math, 52(1), pp.225~236 (2019)
  12. C. Kosar, "On asymptotically deferred statistical equivalence of sequences", Filomat, 31(16), pp.5139~5150 (2017)
  13. Mehme Kucukaslan, "On Deferred Statistical Convergence of Sequences", Kyungpook Mathematical Journal, 56(2), pp.357~366 (2016), 경북대학교 자연과학대학 수학과
  14. I. J. Maddox, "Elements of Functional Analysis" (1970), Cambridge at the University Press
  15. A. Mohammed, "λ -statistical convergence in paranormed space", Abstr. Appl. Anal, pp.5~ (2013)
  16. H. Roopaei, "Quasi-Cesaro matrix and associated sequence space", Turkish J. Math, 45(1), pp.153~166 (2021)
  17. T. Salat, "On statistically convergent sequences of real numbers", Math. Slovaca, 30, pp.139~150 (1980)
  18. H. Steinhaus, "Sur la convergence ordinaire et la convergence asymptotique", Colloq. Math, 2, pp.73~74 (1951)
  19. F. Temizsu, "∆m-deferred statistical convergence of order α", Filomat, 30(3), pp.667~673 (2016)
  20. N. Turan, "Quasi statistical convergence in cone metric spaces", Facta Univ. Ser. Math. Inform, 33(4), pp.613~626 (2018)
  21. T. Yaying, "Lacunary arithmetic statistical convergence", Natl. Acad. Sci. Lett, 43, pp.547~551 (2020)
  22. T. Yaying, "On sequence space defined by the domain of q-Cesaro matrix in p space and the associated operator ideal", J. Math. Anal. Appl, 493(1), pp.124453~ (2021)
  23. T. Yaying, "Paranormed Riesz difference sequence spaces of fractional order", Kragujevac J. Math, 46(2), pp.175~191
  24. T. Yaying, "Geometric properties and compact operators on fractional Riesz difference spaces", Kragujevac J. Math, 47(4), pp.545~566
  25. M. Yılmazturk, "On strongly defereed Cesaro summability and deferred statistical convergence of the sequences", Bitlis Eren Univ. J. Sci. Technology, 3, pp.22~25 (2011)
  26. A. Zygmund, "Warszawa-Lwow" (1935)

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