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Some Inequalities Related to A New Type of Σ Convergence

Year 2008, Volume: 4 Issue: 2, 211 - 218, 01.06.2008

Abstract

References

  • J. Boss, Classical and Modern Methods in Summability, Oxford University Press, Newyork, (2000).
  • C. Çakan, On a class of FB-conservative matrices, Aligarh Bull. Math. 24(1- 2)(2005), 27-33.
  • C. Çakan, C. Aydın, Some inequalities related to a new sequence space which include c, Thai J. Math. 3(2)(2005), 145- 152.
  • C. Çakan, H. Çoşkun, A class of I- conservative matrices, Internat. J. Math. Math. Sci. 21(2005), 3443-3452.
  • H. Çoşkun, C. Çakan, A class of statistical and σ-conservative matrices, Czechoslovak Math. J. 55(130)(2005), no.3, 791-801.
  • H. Çoşkun, C. Çakan, Mursaleen, On the statistical and σ-cores, Studia Math. 154(1)(2003), 29-35.
  • G. Das, Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica 15(1987), 89-106.
  • H. Fast, Sur la convergence statisque, Colloq. Math. 2(1951), 241-244.
  • J. A. Fridy, C. Orhan, Statistical limit superior and inferior, Proc. Amer. Math. Soc. 125(1997), 3625-3631.
  • L. Leindler, Uber die de la Vallée- Pousinsche Summierbarkeit allgemeiner Orthogonalreihen, Acta Math. Acad. Sci.Hungar. 16(1965), 375-387.
  • S. L. Mishra, B. Satapathy, N. Rath, Invariant means and σ-core, J. Indian Math. Soc. 60(1984), 151-158.
  • R. Raimi, Invariant means and invariant matrix methods of summability, Duke Math. J. 30(1963), 81-94
  • Geliş Tarihi: 01/05/2007
  • Kabul Tarihi: 14/07/2008

YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER

Year 2008, Volume: 4 Issue: 2, 211 - 218, 01.06.2008

Abstract

Azalan olmayan doğal sayıların sonsuza giden ve 1 λn+1 − λn ≤ , 1 λ1 = şartlarını sağlayan
( ) λ = λn dizisi için; (V,λ)-toplanabilme, bir dizinin de la Vallée-Pousin ortalaması olarak tanımlandı,
[10]. Bu çalışmada, de la Vallée-Pousin ortalaması ile tanımlanan yeni bir σ –yakınsaklık tanımladık ve bu σ
–yakınsaklık için, [2, 3, 4, 5, 7]’ daki benzer olan bazı eşitsizlikleri inceledik

References

  • J. Boss, Classical and Modern Methods in Summability, Oxford University Press, Newyork, (2000).
  • C. Çakan, On a class of FB-conservative matrices, Aligarh Bull. Math. 24(1- 2)(2005), 27-33.
  • C. Çakan, C. Aydın, Some inequalities related to a new sequence space which include c, Thai J. Math. 3(2)(2005), 145- 152.
  • C. Çakan, H. Çoşkun, A class of I- conservative matrices, Internat. J. Math. Math. Sci. 21(2005), 3443-3452.
  • H. Çoşkun, C. Çakan, A class of statistical and σ-conservative matrices, Czechoslovak Math. J. 55(130)(2005), no.3, 791-801.
  • H. Çoşkun, C. Çakan, Mursaleen, On the statistical and σ-cores, Studia Math. 154(1)(2003), 29-35.
  • G. Das, Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica 15(1987), 89-106.
  • H. Fast, Sur la convergence statisque, Colloq. Math. 2(1951), 241-244.
  • J. A. Fridy, C. Orhan, Statistical limit superior and inferior, Proc. Amer. Math. Soc. 125(1997), 3625-3631.
  • L. Leindler, Uber die de la Vallée- Pousinsche Summierbarkeit allgemeiner Orthogonalreihen, Acta Math. Acad. Sci.Hungar. 16(1965), 375-387.
  • S. L. Mishra, B. Satapathy, N. Rath, Invariant means and σ-core, J. Indian Math. Soc. 60(1984), 151-158.
  • R. Raimi, Invariant means and invariant matrix methods of summability, Duke Math. J. 30(1963), 81-94
  • Geliş Tarihi: 01/05/2007
  • Kabul Tarihi: 14/07/2008
There are 14 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Zeki Kasap This is me

Publication Date June 1, 2008
Published in Issue Year 2008 Volume: 4 Issue: 2

Cite

APA Kasap, Z. (2008). YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER. Celal Bayar University Journal of Science, 4(2), 211-218.
AMA Kasap Z. YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER. CBUJOS. June 2008;4(2):211-218.
Chicago Kasap, Zeki. “YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER”. Celal Bayar University Journal of Science 4, no. 2 (June 2008): 211-18.
EndNote Kasap Z (June 1, 2008) YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER. Celal Bayar University Journal of Science 4 2 211–218.
IEEE Z. Kasap, “YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER”, CBUJOS, vol. 4, no. 2, pp. 211–218, 2008.
ISNAD Kasap, Zeki. “YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER”. Celal Bayar University Journal of Science 4/2 (June 2008), 211-218.
JAMA Kasap Z. YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER. CBUJOS. 2008;4:211–218.
MLA Kasap, Zeki. “YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER”. Celal Bayar University Journal of Science, vol. 4, no. 2, 2008, pp. 211-8.
Vancouver Kasap Z. YENİ BİR σ –YAKINSAKLIK TİPİ İLE İLGİLİ BAZI EŞİTSİZLİKLER. CBUJOS. 2008;4(2):211-8.