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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
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 (June2008), 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.