Araştırma Makalesi
BibTex RIS Kaynak Göster

Mλ- Toplanabilme Metoduyla Tanımlanan Bazı Yeni İdeal Yakınsak Dizi Uzayları

Yıl 2017, , 130 - 137, 08.12.2017
https://doi.org/10.17776/csj.363614

Öz

Bu çalışmada Nörlund
metodunun bir genelleşmesi olarak P.N. Natarajan
[On the -method of summability, Analysis] tarafından tanımlanan -toplanabilme metodu kullanılarak bazı ideal yakınsak dizi
uzayları tanımlanmıştır. Ayrıca, bu uzayların bazı topolojik özellikleri
incelenmiştir.

Kaynakça

  • [1]. Birnbaum Z., Orlicz W. Uber die Verallgemeinerung des Begriffes der zueinander Konjugierten Potenzen, Studia Mathematica, 1931; 3: 1-67.
  • [2]. Krasnosel'skii M.A., Rutickii Y.B. Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Groningen, Netherlands, 1961.
  • [3]. Lindberg, K., On subspaces of Orlicz sequence spaces, Studia Mathematica, 1973; 45 (2):119-146.
  • [4]. Lindenstrauss J., Tzafriri L. On Orlicz Sequence Spaces, Israel Journal of Mathematics, 1971; 10 (3): 379-390.
  • [5]. Parashar S.D., Choudhary B. Sequence Spaces Defined by Orlicz Function, Indian Journal Pure and Applied Mathematics, 1994; 24 (4): 419-428.
  • [6]. Kostyrko P., Wilczynski W., Salat T. I-convergence, Real Analysis Exchange, 2000; 26 (2): 669-686.
  • [7]. Tripathy B.C., Hazarika B. Some I-convergent sequence spaces defined by Orlicz functions, Acta Mathematicae Applicatae Sinica, 2011; 27 (1): 149-154.
  • [8]. Savas E. On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function, Journal of Inequalities and Applications, 2010; Article ID 482392, 8 pages.
  • [9]. Mursaleen M., Sharma S.K. Spaces of Ideal Sequences, Hindawi, 2014; Artical ID 134534, 6 pages.
  • [10]. Savaş E., Das P. A generalized statistical convergence via ideals, Application Letters, 2011; 24 (6): 826-830.
  • [11]. Salat T., Tripathy B.C., Ziman M. On some properties of I-convergence, Tatra Mountains Mathematical Publications, 2004; 28: 279-286.
  • [12]. Natarajan P.N. On the method of summability, Analysis, 2013; {33}: 51-56.
  • [13]. Aral N.D., Küçükaslan M. On -statistical Convergence, Journal of Mathematical Analysis, 2016; 7 (2): 37-46.
  • [14]. Kamrhan P.K., Gupta M. Sequence spaces and series Marcel Dekker, New York, 1981.
  • [15]. Maddox I.J. Elements of Functional Analysis Cambridge Univ. Press, Cambridge, 1970.

On Some New Ideal Convergent Sequence Spaces of -Method of Summability

Yıl 2017, , 130 - 137, 08.12.2017
https://doi.org/10.17776/csj.363614

Öz

In the
present work, we introduce some ideal convergent sequence spaces by using  - summability method which is defined by P. N. Natarajan [On
the -method of summability, Analysis] as a typically
generalization of Nörlund method. Further, we examine some of their topological
properties.

Kaynakça

  • [1]. Birnbaum Z., Orlicz W. Uber die Verallgemeinerung des Begriffes der zueinander Konjugierten Potenzen, Studia Mathematica, 1931; 3: 1-67.
  • [2]. Krasnosel'skii M.A., Rutickii Y.B. Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Groningen, Netherlands, 1961.
  • [3]. Lindberg, K., On subspaces of Orlicz sequence spaces, Studia Mathematica, 1973; 45 (2):119-146.
  • [4]. Lindenstrauss J., Tzafriri L. On Orlicz Sequence Spaces, Israel Journal of Mathematics, 1971; 10 (3): 379-390.
  • [5]. Parashar S.D., Choudhary B. Sequence Spaces Defined by Orlicz Function, Indian Journal Pure and Applied Mathematics, 1994; 24 (4): 419-428.
  • [6]. Kostyrko P., Wilczynski W., Salat T. I-convergence, Real Analysis Exchange, 2000; 26 (2): 669-686.
  • [7]. Tripathy B.C., Hazarika B. Some I-convergent sequence spaces defined by Orlicz functions, Acta Mathematicae Applicatae Sinica, 2011; 27 (1): 149-154.
  • [8]. Savas E. On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function, Journal of Inequalities and Applications, 2010; Article ID 482392, 8 pages.
  • [9]. Mursaleen M., Sharma S.K. Spaces of Ideal Sequences, Hindawi, 2014; Artical ID 134534, 6 pages.
  • [10]. Savaş E., Das P. A generalized statistical convergence via ideals, Application Letters, 2011; 24 (6): 826-830.
  • [11]. Salat T., Tripathy B.C., Ziman M. On some properties of I-convergence, Tatra Mountains Mathematical Publications, 2004; 28: 279-286.
  • [12]. Natarajan P.N. On the method of summability, Analysis, 2013; {33}: 51-56.
  • [13]. Aral N.D., Küçükaslan M. On -statistical Convergence, Journal of Mathematical Analysis, 2016; 7 (2): 37-46.
  • [14]. Kamrhan P.K., Gupta M. Sequence spaces and series Marcel Dekker, New York, 1981.
  • [15]. Maddox I.J. Elements of Functional Analysis Cambridge Univ. Press, Cambridge, 1970.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Natural Sciences
Yazarlar

Nazlım Deniz Aral

Şükran Konca

Yayımlanma Tarihi 8 Aralık 2017
Gönderilme Tarihi 22 Haziran 2017
Kabul Tarihi 23 Ekim 2017
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

APA Aral, N. D., & Konca, Ş. (2017). On Some New Ideal Convergent Sequence Spaces of -Method of Summability. Cumhuriyet Science Journal, 38(4), 130-137. https://doi.org/10.17776/csj.363614