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

共 50 条

[1] Fibonacci statistical convergence and Korovkin type approximation theorems
Kirisci, Murat
Karaisa, Ali
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[2] Korovkin type approximation theorems for weighted αβ-statistical convergence
Karakaya, Vatan
Karaisa, Ali
[J]. BULLETIN OF MATHEMATICAL SCIENCES, 2015, 5 (02) : 159 - 169
[3] Korovkin type approximation theorems proved via αβ-statistical convergence
Aktuglu, Huseyin
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 : 174 - 181
[4] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
Akdag, Sevda
[J]. RESULTS IN MATHEMATICS, 2017, 72 (03) : 1073 - 1085
[5] KOROVKIN TYPE APPROXIMATION THEOREMS VIA f-STATISTICAL CONVERGENCE
Bhardwaj, Vinod K.
Dhawan, Shweta
[J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (02): : 99 - 117
[6] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
Sevda Akdağ
[J]. Results in Mathematics, 2017, 72 : 1073 - 1085
[7] Korovkin type approximation theorems obtained through generalized statistical convergence
Edely, Osama H. H.
Mohiuddine, S. A.
Noman, Abdullah K.
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (11) : 1382 - 1387
[8] KOROVKIN TYPE APPROXIMATION THEOREMS FOR σ-CONVERGENCE OF DOUBLE SEQUENCES
Alotaibi, A.
Mursaleen, M.
Mohiuddine, S. A.
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 183 - 192
[9] On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems
Baliarsingh, P.
Kadak, U.
Mursaleen, M.
[J]. QUAESTIONES MATHEMATICAE, 2018, 41 (08) : 1117 - 1133
[10] DEFERRED CESARO STATISTICAL CONVERGENCE OF MARTINGALE SEQUENCE AND KOROVKIN-TYPE APPROXIMATION THEOREMS
SRIVASTAVA, H. M.
JENA, B. I. D. U. B. H. U. S. A. N.
PAIKRAY, S. U. S. A. N. T. A. K. U. M. A. R.
[J]. MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) : 443 - 456

← 1 2 3 4 5 →