Fibonacci statistical convergence and Korovkin type approximation theorems

被引：0
作者：
Murat Kirişci
Ali Karaisa
机构：
[1] Istanbul University,Department of Mathematical Education, Hasan Ali Yücel Education Faculty
[2] Necmettin Erbakan University,Department of Mathematica
来源：
Journal of Inequalities and Applications | / 2017卷
关键词：
Korovkin type approximation theorems; statistical convergence; Fibonacci numbers; Fibonacci matrix; positive linear operator; density; 11B39; 41A10; 41A25; 41A36; 40A30; 40G15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.
引用
收藏
相关论文
共 69 条
  • [11] Karakaya V(1985)statistical convergence Analysis 5 301-313
  • [12] Karaisa A(2013)Some weighted equi-statistical convergence and Korovkin type-theorem J. Inequal. Appl. 2013 129-138
  • [13] Braha NL(2002)On statistical convergence Rocky Mt. J. Math. 32 9821-9826
  • [14] Fridy JA(2013)Some topological and geometrical properties of new Banach sequence spaces Appl. Math. Comput. 219 1382-1387
  • [15] Kara EE(2010)Some approximation theorems via statistical convergence Appl. Math. Lett. 23 8231-8236
  • [16] Gadjiev AD(2013)Generalized weighted statistical convergence and application Appl. Math. Comput. 219 1856-1860
  • [17] Orhan C(2011)Korovkin type approximation theorems obtained through generalized statistical convergence Appl. Math. Lett. 24 320-324
  • [18] Belen C(2011)Approximation for periodic functions via weighted statistical convergence Appl. Math. Lett. 24 373-381
  • [19] Mohiuddine SA(2011)An application of almost convergence in approximation theorems Ann. Univ. Ferrara 57 9132-9137
  • [20] Edely OHH(2012)Statistical summability and approximation by de la Valle-Poussin mean Appl. Math. Comput. 218 43-47
1234567