A Korovkin type approximation theorems via I-convergence

被引：0
|
作者：
Duman, O. [1 ]
机构：
[1] TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 01期
关键词：
I-convergence; positive linear operator; the classical Korovkin theorem;
D O I：
10.1007/s10587-007-0065-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the concept of I-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
引用
收藏
页码：367 / 375
页数：9
相关论文
共 50 条
  • [1] Korovkin Type Approximation Theorems via Lacunary Equistatistical Convergence
    Alotaibi, Abdullah
    Mursaleen, M.
    [J]. FILOMAT, 2016, 30 (13) : 3641 - 3647
  • [2] Korovkin type approximation theorems proved via αβ-statistical convergence
    Aktuglu, Huseyin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 : 174 - 181
  • [3] KOROVKIN TYPE APPROXIMATION THEOREMS VIA f-STATISTICAL CONVERGENCE
    Bhardwaj, Vinod K.
    Dhawan, Shweta
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (02): : 99 - 117
  • [4] Fibonacci statistical convergence and Korovkin type approximation theorems
    Murat Kirişci
    Ali Karaisa
    [J]. Journal of Inequalities and Applications, 2017
  • [5] Korovkin type approximation theorems for weighted αβ-statistical convergence
    Karakaya, Vatan
    Karaisa, Ali
    [J]. BULLETIN OF MATHEMATICAL SCIENCES, 2015, 5 (02) : 159 - 169
  • [6] 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
  • [7] Fibonacci statistical convergence and Korovkin type approximation theorems
    Kirisci, Murat
    Karaisa, Ali
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [8] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
    Akdag, Sevda
    [J]. RESULTS IN MATHEMATICS, 2017, 72 (03) : 1073 - 1085
  • [9] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
    Sevda Akdağ
    [J]. Results in Mathematics, 2017, 72 : 1073 - 1085
  • [10] 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
12345