Araştırma Makalesi

On Lacunary ideal convergence of some sequences

Cilt: 5 Sayı: 1 1 Ocak 2017
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On Lacunary ideal convergence of some sequences

Abstract

In this paper, new classes of lacunary ideal convergent and lacunary ideal bounded sequences combining an infinite matrix and an Orlicz function are defined. Some properties of these spaces are investigated and also some inclusion relations are obtained.

Keywords

Kaynakça

  1. P. Das, Some further results on ideal convergence in topological spaces, Topology Appl. 159(10-11) (2012) 2621–2626.
  2. H. Fast, Sur la convergence statistique, Colloq. Math. 2(3-4) (1951) 241–244.
  3. A. R. Freedman, J. J. Sember and M. Raphael: Some Cesaro-type summability spaces, Proc. London Math. Soc. 37(3) (1978) 508–520.
  4. B. Hazarika, Strongly almost ideal convergent sequence spaces in a locally convex space defined by Musielak-Orlicz function, Iran. J. Math. Sci. Inform. 9(2) (2014) 15-35.
  5. M. Gürdal, On ideal convergent sequences in 2-normed spaces, Thai J. Math. 4(1) (2006) 85–91.
  6. M. Gürdal and M. B. Huban, On I-convergence of double sequences in the Topology induced by random 2-norms, Mat. Vesnik 66(1) (2014) 73-83.
  7. M. Gürdal and A. Şahiner, Ideal Convergence in n-normed spaces and some new sequence spaces via n-norm, J. Fundamental Sci. 4(1) (2008) 233–244.
  8. E. E. Kara and M. İlkhan, On some paranormed A-ideal convergent sequence spaces defined by Orlicz function, Asian J. Math. Comput. Research 4(4) (2015) 183-194.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Mahmut Dastan Bu kişi benim
Türkiye

Merve Ilkhan Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Ocak 2017

Gönderilme Tarihi

30 Ağustos 2016

Kabul Tarihi

5 Ekim 2016

Yayımlandığı Sayı

Yıl 1970 Cilt: 5 Sayı: 1

Kaynak Göster

APA
Kara, E. E., Dastan, M., & Ilkhan, M. (2017). On Lacunary ideal convergence of some sequences. New Trends in Mathematical Sciences, 5(1), 234-242. https://izlik.org/JA54BS53EP
AMA
1.Kara EE, Dastan M, Ilkhan M. On Lacunary ideal convergence of some sequences. New Trends in Mathematical Sciences. 2017;5(1):234-242. https://izlik.org/JA54BS53EP
Chicago
Kara, Emrah Evren, Mahmut Dastan, ve Merve Ilkhan. 2017. “On Lacunary ideal convergence of some sequences”. New Trends in Mathematical Sciences 5 (1): 234-42. https://izlik.org/JA54BS53EP.
EndNote
Kara EE, Dastan M, Ilkhan M (01 Ocak 2017) On Lacunary ideal convergence of some sequences. New Trends in Mathematical Sciences 5 1 234–242.
IEEE
[1]E. E. Kara, M. Dastan, ve M. Ilkhan, “On Lacunary ideal convergence of some sequences”, New Trends in Mathematical Sciences, c. 5, sy 1, ss. 234–242, Oca. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA54BS53EP
ISNAD
Kara, Emrah Evren - Dastan, Mahmut - Ilkhan, Merve. “On Lacunary ideal convergence of some sequences”. New Trends in Mathematical Sciences 5/1 (01 Ocak 2017): 234-242. https://izlik.org/JA54BS53EP.
JAMA
1.Kara EE, Dastan M, Ilkhan M. On Lacunary ideal convergence of some sequences. New Trends in Mathematical Sciences. 2017;5:234–242.
MLA
Kara, Emrah Evren, vd. “On Lacunary ideal convergence of some sequences”. New Trends in Mathematical Sciences, c. 5, sy 1, Ocak 2017, ss. 234-42, https://izlik.org/JA54BS53EP.
Vancouver
1.Emrah Evren Kara, Mahmut Dastan, Merve Ilkhan. On Lacunary ideal convergence of some sequences. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2017;5(1):234-42. Erişim adresi: https://izlik.org/JA54BS53EP