Korovkin theorems on weighted spaces: revisited

被引：0
|
作者：
Özlem Girgin Atlihan
Mehmet Ünver
Oktay Duman
机构：
[1] Pamukkale University,Department of Mathematics
[2] Ankara University,Department of Mathematics, Faculty of Science
[3] TOBB Economics and Technology University,Department of Mathematics
来源：
Periodica Mathematica Hungarica | 2017年 / 75卷
关键词：
Weighted approximation; Korovkin theorem; Statistical convergence; Summation process; Abel summability; 41A36; 40G15; 40C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, using the idea of the late Professor Gadjiev (Mat Zametki 20(5):781–786, 1976), we give new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. Recent improvements and new applications are also presented.
引用
收藏
页码：201 / 209
页数：8
相关论文
共 50 条
  • [1] Korovkin theorems on weighted spaces: revisited
    Atlihan, Ozlem Girgin
    Unver, Mehmet
    Duman, Oktay
    PERIODICA MATHEMATICA HUNGARICA, 2017, 75 (02) : 201 - 209
  • [2] KOROVKIN TYPE APPROXIMATION THEOREMS IN WEIGHTED SPACES VIA POWER SERIES METHOD
    Tas, E.
    Yurdakadim, T.
    Atlihan, O. G.
    OPERATORS AND MATRICES, 2018, 12 (02): : 529 - 535
  • [3] Abstract Korovkin-type theorems in modular spaces and applications
    Bardaro, Carlo
    Boccuto, Antonio
    Dimitriou, Xenofon
    Mantellini, Ilaria
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (10): : 1774 - 1784
  • [4] Triangular ideal relative convergence on modular spaces and Korovkin theorems
    Cinar, Selin
    Yildiz, Sevda
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (04): : 907 - 924
  • [5] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
    Akdag, Sevda
    RESULTS IN MATHEMATICS, 2017, 72 (03) : 1073 - 1085
  • [6] Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems
    Sevda Akdağ
    Results in Mathematics, 2017, 72 : 1073 - 1085
  • [7] Korovkin-type theorems and their statistical versions in grand Lebesgue spaces
    Zeren, Yusuf
    Ismailov, Migdad
    Karacam, Cemil
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 1027 - 1041
  • [8] Korovkin type approximation theorem via Ka-convergence on weighted spaces
    Yildiz, Sevda
    Dirik, Fadime
    Demirci, Kamil
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (16) : 5371 - 5382
  • [9] Approximation theorems via Pp-statistical convergence on weighted spaces
    Yildiz, Sevda
    Bayram, Nilay Sahin
    MATHEMATICA SLOVACA, 2024, 74 (03) : 665 - 678
  • [10] Statistically and Relatively Modular Deferred-Weighted Summability and Korovkin-Type Approximation Theorems
    Srivastava, Hari Mohan
    Jena, Bidu Bhusan
    Paikray, Susanta Kumar
    Misra, Umakanta
    SYMMETRY-BASEL, 2019, 11 (04):
12345