Year 2017, Volume 38, Issue 4, Pages 130 - 137 2017-12-08

- Toplanabilme Metoduyla Tanımlanan Bazı Yeni İdeal Yakınsak Dizi Uzayları
On Some New Ideal Convergent Sequence Spaces of -Method of Summability

Nazlım Deniz ARAL [1] , Şükran KONCA [2]

115 182

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.

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.

  • [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.
Subjects Basic Sciences
Journal Section Natural Sciences
Authors

Author: Nazlım Deniz ARAL (Primary Author)

Author: Şükran KONCA

Bibtex @research article { csj363614, journal = {Cumhuriyet Science Journal}, issn = {2587-2680}, eissn = {2587-246X}, address = {Cumhuriyet University}, year = {2017}, volume = {38}, pages = {130 - 137}, doi = {10.17776/csj.363614}, title = {On Some New Ideal Convergent Sequence Spaces of -Method of Summability}, key = {cite}, author = {ARAL, Nazlım Deniz and KONCA, Şükran} }
APA ARAL, N , KONCA, Ş . (2017). On Some New Ideal Convergent Sequence Spaces of -Method of Summability. Cumhuriyet Science Journal, 38 (4), 130-137. DOI: 10.17776/csj.363614
MLA ARAL, N , KONCA, Ş . "On Some New Ideal Convergent Sequence Spaces of -Method of Summability". Cumhuriyet Science Journal 38 (2017): 130-137 <http://dergipark.org.tr/csj/issue/32371/363614>
Chicago ARAL, N , KONCA, Ş . "On Some New Ideal Convergent Sequence Spaces of -Method of Summability". Cumhuriyet Science Journal 38 (2017): 130-137
RIS TY - JOUR T1 - On Some New Ideal Convergent Sequence Spaces of -Method of Summability AU - Nazlım Deniz ARAL , Şükran KONCA Y1 - 2017 PY - 2017 N1 - doi: 10.17776/csj.363614 DO - 10.17776/csj.363614 T2 - Cumhuriyet Science Journal JF - Journal JO - JOR SP - 130 EP - 137 VL - 38 IS - 4 SN - 2587-2680-2587-246X M3 - doi: 10.17776/csj.363614 UR - https://doi.org/10.17776/csj.363614 Y2 - 2017 ER -
EndNote %0 Cumhuriyet Science Journal On Some New Ideal Convergent Sequence Spaces of -Method of Summability %A Nazlım Deniz ARAL , Şükran KONCA %T On Some New Ideal Convergent Sequence Spaces of -Method of Summability %D 2017 %J Cumhuriyet Science Journal %P 2587-2680-2587-246X %V 38 %N 4 %R doi: 10.17776/csj.363614 %U 10.17776/csj.363614
ISNAD ARAL, Nazlım Deniz , KONCA, Şükran . "On Some New Ideal Convergent Sequence Spaces of -Method of Summability". Cumhuriyet Science Journal 38 / 4 (December 2017): 130-137. https://doi.org/10.17776/csj.363614