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ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES

Yıl 2015, Cilt: 3 Sayı: 2, 165 - 175, 01.10.2015

Ömer Kişi

Öz

In this paper, we introduce the concept of I2􀀀asymptotically 2􀀀statistically equivalence of multiple L for the double sequences (xkl) and (ykl). Also we give some inclusion relations.

Anahtar Kelimeler

Double Statistical convergence I2􀀀convergence 2􀀀convergence asymptotically equivalence double sequences.

Kaynakça

  • [1] Esi, A., Acikgoz, M., (2014). On 2􀀀Asymptotically Double Statistical Equiv- alent Sequences, Int. J. Nonlinear Anal. Appl. 5. No. 2, 16-21 ISNN:2008-6822.
  • [2] Fast, H. (1951). Sur la convergence statistique, Coll. Math., 2, 241-244.
  • [3] Freedman, A. R. and Sember, J. J. (1981) Densities and Summability, Paci c Journal of Mathematics, 95, 239- 305.
  • [4] Fridy, J. A. (1985). On statistical convergence. Analysis, 5, 301, 313.
  • [5] Gumus, H., Savas, E. (2012) On SL asymptotically statistical equivalent sequences, Numerical Analysis and Applied Mathematics Icnaam Ap Conf. Proc. 1479, pp.936-941
  • [6] Hazarika, B., Kumar V., (2013), On asymptotically double lacunary statistical equivalent sequences in ideal context, J. Ineq. Appl. 2013:543
  • [7] Kostyrko P. , Salat T. , Wilczynski W., I􀀀convergence, Real Anal. Exchange, 26 (2) (2000/2001), 669-686.
  • [8] Kostyrko P. , Macaj M. , Salat T. , and Sleziak M. , \I􀀀convergence and extremal I􀀀limit points,"Mathematica Slovaca, vol. 55, no. 4, pp. 443{464, 2005.
  • [9] Marouf, M. (1993) Asymptotic equivalence and summability. Internat. J. Math. Sci., 16 (4)
  • [10] Mursaleen, (2000), 􀀀Statistical Convergence, Math. Slovaca, 50, No. 1, pp. 111-115.
  • [11] Mursaleen M., Edely O.H.H. (2003), Statistical convergence of double se- quences, J. Math. Anal. Appl., 288,223-231.
  • [12] Patterson, R.F. (2003). On asymptotically statistically equivalent sequences. Demostratio Math., (1), 149-153.
  • [13] Patterson, R.F. Some characterization of asymptotic equivalent double se- quences, (in press).
  • [14] Pobyvanets I. P. (1980). Asymptotic equivalence of some linear transforma- tions, de ned by a nonnegative matrix and reduced to generalized equivalence in the sense of Cesaro and Abel. Mat. Fiz., no. 28, 83{87, 123. MR 632482 (83h:40004).
  • [15] Pringsheim A. (1900). Zur theorie der zweifach unendlichen Zahlenfolgen, Mathematische Annalen 53 289-321
  • [16] Savas, E., Das P. (2011). A generalized statistical convergence via ideals. Appl.Math. Lett., 24 826{830.
  • [17] Savas, E. (2012). On generalized double statistical convergence via ideals. The Fifth Saudi Science Conference. 16-18 April, 2012.
  • [18] Savas, R., Basarr M., (2006). (; )-Asymptotically Statistically Equivalent Sequences, Filomat 20 (1), 35-42.
  • [19] Schoenberg, I. J., (1959). The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66, 361-375.

Yıl 2015, Cilt: 3 Sayı: 2, 165 - 175, 01.10.2015

Ömer Kişi

Öz

Kaynakça

  • [1] Esi, A., Acikgoz, M., (2014). On 2􀀀Asymptotically Double Statistical Equiv- alent Sequences, Int. J. Nonlinear Anal. Appl. 5. No. 2, 16-21 ISNN:2008-6822.
  • [2] Fast, H. (1951). Sur la convergence statistique, Coll. Math., 2, 241-244.
  • [3] Freedman, A. R. and Sember, J. J. (1981) Densities and Summability, Paci c Journal of Mathematics, 95, 239- 305.
  • [4] Fridy, J. A. (1985). On statistical convergence. Analysis, 5, 301, 313.
  • [5] Gumus, H., Savas, E. (2012) On SL asymptotically statistical equivalent sequences, Numerical Analysis and Applied Mathematics Icnaam Ap Conf. Proc. 1479, pp.936-941
  • [6] Hazarika, B., Kumar V., (2013), On asymptotically double lacunary statistical equivalent sequences in ideal context, J. Ineq. Appl. 2013:543
  • [7] Kostyrko P. , Salat T. , Wilczynski W., I􀀀convergence, Real Anal. Exchange, 26 (2) (2000/2001), 669-686.
  • [8] Kostyrko P. , Macaj M. , Salat T. , and Sleziak M. , \I􀀀convergence and extremal I􀀀limit points,"Mathematica Slovaca, vol. 55, no. 4, pp. 443{464, 2005.
  • [9] Marouf, M. (1993) Asymptotic equivalence and summability. Internat. J. Math. Sci., 16 (4)
  • [10] Mursaleen, (2000), 􀀀Statistical Convergence, Math. Slovaca, 50, No. 1, pp. 111-115.
  • [11] Mursaleen M., Edely O.H.H. (2003), Statistical convergence of double se- quences, J. Math. Anal. Appl., 288,223-231.
  • [12] Patterson, R.F. (2003). On asymptotically statistically equivalent sequences. Demostratio Math., (1), 149-153.
  • [13] Patterson, R.F. Some characterization of asymptotic equivalent double se- quences, (in press).
  • [14] Pobyvanets I. P. (1980). Asymptotic equivalence of some linear transforma- tions, de ned by a nonnegative matrix and reduced to generalized equivalence in the sense of Cesaro and Abel. Mat. Fiz., no. 28, 83{87, 123. MR 632482 (83h:40004).
  • [15] Pringsheim A. (1900). Zur theorie der zweifach unendlichen Zahlenfolgen, Mathematische Annalen 53 289-321
  • [16] Savas, E., Das P. (2011). A generalized statistical convergence via ideals. Appl.Math. Lett., 24 826{830.
  • [17] Savas, E. (2012). On generalized double statistical convergence via ideals. The Fifth Saudi Science Conference. 16-18 April, 2012.
  • [18] Savas, R., Basarr M., (2006). (; )-Asymptotically Statistically Equivalent Sequences, Filomat 20 (1), 35-42.
  • [19] Schoenberg, I. J., (1959). The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66, 361-375.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Ömer Kişi

Yayımlanma Tarihi 1 Ekim 2015
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 2

Kaynak Göster

APA Kişi, Ö. (2015). ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES. Konuralp Journal of Mathematics, 3(2), 165-175.
AMA Kişi Ö. ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES. Konuralp J. Math. Ekim 2015;3(2):165-175.
Chicago Kişi, Ömer. “ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES”. Konuralp Journal of Mathematics 3, sy. 2 (Ekim 2015): 165-75.
EndNote Kişi Ö (01 Ekim 2015) ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES. Konuralp Journal of Mathematics 3 2 165–175.
IEEE Ö. Kişi, “ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES”, Konuralp J. Math., c. 3, sy. 2, ss. 165–175, 2015.
ISNAD Kişi, Ömer. “ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES”. Konuralp Journal of Mathematics 3/2 (Ekim 2015), 165-175.
JAMA Kişi Ö. ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES. Konuralp J. Math. 2015;3:165–175.
MLA Kişi, Ömer. “ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES”. Konuralp Journal of Mathematics, c. 3, sy. 2, 2015, ss. 165-7.
Vancouver Kişi Ö. ON I2-ASYMPTOTICALLY $\lambda^2$-STATISTICAL EQUIVALENT DOUBLE SEQUENCES. Konuralp J. Math. 2015;3(2):165-7.
 Kapak Resmi İndir
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