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
  • [1] Freedman AR(1981)Densities and summability Pac. J. Math. 95 293-305
  • [2] Sember JJ(1951)Sur la convergence statistique Colloq. Math. 2 241-244
  • [3] Fast H(1959)The integrability of certain functions and related summability methods Am. Math. Mon. 66 361-375
  • [4] Schoenberg IJ(1953)Generalized asymptotic density Am. J. Math. 75 335-346
  • [5] Buck RC(1989)Sur les densities de certaines suites d’entiers Proc. Lond. Math. Soc. 3 417-438
  • [6] Erdos R(1995)A measure theoretical subsequence characterization of statistical convergence Trans. Am. Math. Soc. 347 1811-1819
  • [7] Tenenbaum G(1988)Statistical convergence in a locally convex sequence space Math. Proc. Camb. Philos. Soc. 104 141-145
  • [8] Miller HI(2014)Korovkin type approximation theorems proved via J. Comput. Appl. Math. 259 174-181
  • [9] Maddox IJ(2015)-statistical convergence Bull. Math. Sci. 5 159-169
  • [10] Aktuğlu H(2016)Korovkin type approximation theorems for weighted Results Math. 70 433-446
1234567