Research Article

A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets

Volume: 4 Number: 2 October 30, 2016
EN

A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets

Abstract


Keywords

Asymptotically equivalence,statistical convergence,I-convergence,lacunary sequence,Cesàro summability,sequences of sets,Wijsman convergence

References

  1. [1] Aubin, J.-P. and Frankowska, H., Set-valued analysis. Birkhauser, Boston, 1990.
  2. [2] Baronti, M. and Papini, P., Convergence of sequences of sets. In methods of functional analysis in approximation theory, ISNM 76, Birkhauser, Basel, 1986.
  3. [3] Beer, G., On convergence of closed sets in a metric space and distance functions. Bull. Aust. Math. Soc. 31 (1985), 421-432.
  4. [4] Beer, G., Wijsman convergence: A survey. Set-Valued Analysis 2 (1994), 77-94.
  5. [5] Connor, J. S., The statistical and strong p-Cesàro convergence of sequences. Analysis 8 (1988), 47-63.
  6. [6] Das, P., Sava¸s, E. and Ghosal, S. Kr., On generalizations of certain summability methods using ideals. Appl. Math. Lett. 24 (2011), no. 9, 1509-1514.
  7. [7] Fast, H., Sur la convergence statistique. Colloq. Math. 2 (1951), 241-244.
  8. [8] Freedman, A. R., Sember, J. J. and Raphael, M., Some Cesaro-type summability spaces. Proc. Lond. Math. Soc. 37 (1978), no. 3, 508-520.
  9. [9] Fridy, J. A., On statistical convergence. Analysis 5 (1985), 301-313.
  10. [10] Fridy, J. A. and Orhan, C., Lacunary Statistical Convergence. Pacific J. Math. 160 (1993), no. 1, 43-51.
APA
Ulusu, U., Nuray, F., & Savaş, E. (2016). A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets. Mathematical Sciences and Applications E-Notes, 4(2), 91-101. https://doi.org/10.36753/mathenot.421461
AMA
1.Ulusu U, Nuray F, Savaş E. A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets. Math. Sci. Appl. E-Notes. 2016;4(2):91-101. doi:10.36753/mathenot.421461
Chicago
Ulusu, Ugur, Fatih Nuray, and Ekrem Savaş. 2016. “A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets”. Mathematical Sciences and Applications E-Notes 4 (2): 91-101. https://doi.org/10.36753/mathenot.421461.
EndNote
Ulusu U, Nuray F, Savaş E (October 1, 2016) A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets. Mathematical Sciences and Applications E-Notes 4 2 91–101.
IEEE
[1]U. Ulusu, F. Nuray, and E. Savaş, “A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets”, Math. Sci. Appl. E-Notes, vol. 4, no. 2, pp. 91–101, Oct. 2016, doi: 10.36753/mathenot.421461.
ISNAD
Ulusu, Ugur - Nuray, Fatih - Savaş, Ekrem. “A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets”. Mathematical Sciences and Applications E-Notes 4/2 (October 1, 2016): 91-101. https://doi.org/10.36753/mathenot.421461.
JAMA
1.Ulusu U, Nuray F, Savaş E. A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets. Math. Sci. Appl. E-Notes. 2016;4:91–101.
MLA
Ulusu, Ugur, et al. “A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 2, Oct. 2016, pp. 91-101, doi:10.36753/mathenot.421461.
Vancouver
1.Ugur Ulusu, Fatih Nuray, Ekrem Savaş. A Generalization of Asymptotically I-Lacunary Statistical Equivalence of Sequences of Sets. Math. Sci. Appl. E-Notes. 2016 Oct. 1;4(2):91-101. doi:10.36753/mathenot.421461

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