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Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz

Yıl 2009, Cilt: 38 Sayı: 2, 153 - 159, 01.02.2009

Öz

In this article, using the notion of statistical convergence, we relax the hypotheses of the well-known theorems from classical complex analysis, such as Weierstrass’ Theorem, Montel’s Theorem and Hurwitz’s Theorem. So, we obtain more powerful results than the classical ones in complex analysis.

Kaynakça

  • Connor, J. S. The statistical and p-Ces´aro convergence of sequences, Analysis 8, 47–63, Demirci, K. A criterion for A-statistical convergence, Indian J. Pure Appl. Math. 29, 559– , 1998.
  • Fast, H. Sur la convergence statistique, Colloq. Math. 2, 241–244, 1951.
  • Freedman, A. R. and Sember, J. J. Densities and summability, Pacific J. Math. 95, 293–305, Fridy, J. A. On statistical convergence, Analysis 5, 301–313, 1985.
  • Fridy, J. A. Statistical limit points, Proc. Amer. Math. Soc. 118, 1187–1192, 1993.
  • Fridy, J. A. and Orhan, C. Statistical limit superior and limit inferior, Proc. Amer. Math. Soc. 125, 3625–3631, 1997.
  • Hardy, G. H. Divergent Series (Oxford Univ. Press, London, 1949).
  • Kolk, E. Matrix summability of statistically convergent sequences, Analysis 13, 77–83, 1993.
  • Miller, H. I. A measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347, 1811–1819, 1995.
  • Mursaleen, M. and Edely, Osama H. H. Generalized statistical convergence, Inform. Sci. 162, –294, 2004.
  • Narasimhan, R. Complex Analysis in One Variable (Birkh¨auser, Boston, 1985).
  • Sava¸s, E. On strong almost A-summability with respect to a modulus and statistical conver- gence, Indian J. Pure Appl. Math. 23, 217–222, 1992.

STRONG VERSIONS OF THE THEOREMS OF WEIERSTRASS, MONTEL AND HURWITZ

Yıl 2009, Cilt: 38 Sayı: 2, 153 - 159, 01.02.2009

Öz

Kaynakça

  • Connor, J. S. The statistical and p-Ces´aro convergence of sequences, Analysis 8, 47–63, Demirci, K. A criterion for A-statistical convergence, Indian J. Pure Appl. Math. 29, 559– , 1998.
  • Fast, H. Sur la convergence statistique, Colloq. Math. 2, 241–244, 1951.
  • Freedman, A. R. and Sember, J. J. Densities and summability, Pacific J. Math. 95, 293–305, Fridy, J. A. On statistical convergence, Analysis 5, 301–313, 1985.
  • Fridy, J. A. Statistical limit points, Proc. Amer. Math. Soc. 118, 1187–1192, 1993.
  • Fridy, J. A. and Orhan, C. Statistical limit superior and limit inferior, Proc. Amer. Math. Soc. 125, 3625–3631, 1997.
  • Hardy, G. H. Divergent Series (Oxford Univ. Press, London, 1949).
  • Kolk, E. Matrix summability of statistically convergent sequences, Analysis 13, 77–83, 1993.
  • Miller, H. I. A measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347, 1811–1819, 1995.
  • Mursaleen, M. and Edely, Osama H. H. Generalized statistical convergence, Inform. Sci. 162, –294, 2004.
  • Narasimhan, R. Complex Analysis in One Variable (Birkh¨auser, Boston, 1985).
  • Sava¸s, E. On strong almost A-summability with respect to a modulus and statistical conver- gence, Indian J. Pure Appl. Math. 23, 217–222, 1992.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

O. Duman Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 38 Sayı: 2

Kaynak Göster

APA Duman, O. (2009). Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz. Hacettepe Journal of Mathematics and Statistics, 38(2), 153-159.
AMA Duman O. Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz. Hacettepe Journal of Mathematics and Statistics. Şubat 2009;38(2):153-159.
Chicago Duman, O. “Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz”. Hacettepe Journal of Mathematics and Statistics 38, sy. 2 (Şubat 2009): 153-59.
EndNote Duman O (01 Şubat 2009) Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz. Hacettepe Journal of Mathematics and Statistics 38 2 153–159.
IEEE O. Duman, “Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz”, Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 2, ss. 153–159, 2009.
ISNAD Duman, O. “Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz”. Hacettepe Journal of Mathematics and Statistics 38/2 (Şubat 2009), 153-159.
JAMA Duman O. Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz. Hacettepe Journal of Mathematics and Statistics. 2009;38:153–159.
MLA Duman, O. “Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz”. Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 2, 2009, ss. 153-9.
Vancouver Duman O. Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz. Hacettepe Journal of Mathematics and Statistics. 2009;38(2):153-9.