Asymptotically J_σ-Equivalence of Sequences of Sets

Yıl 2019, Cilt: 23 Sayı: 5, 718 - 723, 01.10.2019

Uğur Ulusu Esra Gülle

https://doi.org/10.16984/saufenbilder.509863

Cited By: 1

Öz

In this
study, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (W^LJσ) , Wijsman asymptotically strongly p-invariant equivalence ([W^LVσ)]_p) and Wijsman asymptotically J^*-invariant equivalence (W^LJ^*σ). Also, we investigate the relationships among the concepts
of Wijsman asymptotically invariant equivalence, Wijsman asymptotically
invariant statistical equivalence, W^LJσ, [W^LVσ)]_p and W^LJ^*σ. 

Anahtar Kelimeler

asymptotically equivalence, J-convergence, invariant convergence, sequences of sets, Wijsman convergence

Kaynakça

• [1] Ö. Kişi and F. Nuray, “On S_λ^L (J)-asymptotically statistical equivalence of sequences of sets”, ISRN Mathematical Analysis, vol. 2013, Article ID 602963, 6 pages, 2013. doi:10.1155/2013/602963
• [2] P. Kostyrko, W. Wilczyński and T. Šalát, “J-convergence”, Real Anal. Exchange, vol. 26, no. 2, pp. 669–686, 2000.
• [3] M. Marouf, “Asymptotic equivalence and summability”, Int. J. Math. Math. Sci., vol 16, no. 4, pp. 755–762, 1993.
• [4] M. Mursaleen, “Matrix transformation between some new sequence spaces”, Houston J. Math., vol. 9, no. 4, pp. 505–509, 1983.
• [5] F. Nuray, H. Gök and U. Ulusu, “J_σ-convergence”, Math. Commun., vol.16, pp. 531–538, 2011.
• [6] F. Nuray and B. E. Rhoades, “Statistical convergence of sequences of sets”, Fasc. Math., vol. 49, pp. 87–99, 2012.
• [7] N. Pancaroğlu and F. Nuray, “On invariant statistically convergence and lacunary invariant statistically convergence of sequences of sets”, Progress in Applied Mathematics, vol. 5, no. 2, pp. 23–29, 2013.
• [8] N. Pancaroğlu, F. Nuray and E. Savaş, “On asymptotically lacunary invariant statistical equivalent set sequences”, AIP Conf. Proc., vol. 1558, no. 1, pp. 780–781, 2013. doi:10.1063/1.4825609
• [9] E. Savaş, “Strongly σ-convergent sequences”, Bull. Calcutta Math., vol. 81, pp. 295–300, 1989.
• [10] E. Savaş and F. Nuray, “On σ-statistically convergence and lacunary σ-statistically convergence”, Math. Slovaca, vol. 43, no. 3, pp. 309–315, 1993.
• [11] U. Ulusu and F. Nuray, “On asymptotically lacunary statistical equivalent set sequences”, Journal of Mathematics, vol. 2013, Article ID 310438, 5 pages, 2013. doi:10.1155/2013/310438