Relative modular convergence of positive linear operators

被引：19

作者：

Yilmaz, Burcak ^{[1
]}

Demirci, Kamil ^{[1
]}

Orhan, Sevda ^{[1
]}

机构：

[1] Sinop Univ, Fac Sci & Arts, Dept Math, TR-57000 Sinop, Turkey

来源：

POSITIVITY | 2016年 / 20卷 / 03期

关键词：

Positive linear operators; Modular space; Relative modular convergence; Korovkin theorem;

D O I：

10.1007/s11117-015-0372-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define a new type of modular convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem via this type of convergence in modular spaces. Then, we construct an example such that our new approximation result works but its classical cases do not work.

引用

页码：565 / 577

页数：13

共 50 条

[31] Modular Filter Convergence Theorems for Urysohn Integral Operators and Applications
Antonio BOCCUTO
Xenofon DIMITRIOU
Acta Mathematica Sinica,English Series, 2013, (06) : 1055 - 1066
[32] POSITIVE LINEAR OPERATORS AND EXPONENTIAL FUNCTIONS
Acu, Ana-Maria
Rasa, Ioan
Seserman, Andra
MATHEMATICAL FOUNDATIONS OF COMPUTING, 2023, 6 (03): : 313 - 319
[33] Steklov Averages as Positive Linear Operators
Popa, Dorian
Rasa, Ioan
FILOMAT, 2016, 30 (05) : 1195 - 1201
[34] Positive linear operators with equidistant nodes
Gavrea, I
Gonska, HH
Kacso, DP
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (08) : 23 - 32
[35] On new class of linear and positive operators
Patel P.
Mishra V.N.
Bollettino dell'Unione Matematica Italiana, 2015, 8 (2) : 81 - 96
[36] Weighted approximation of continuous functions by sequences of linear positive operators
Coskun, T
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2000, 110 (04): : 357 - 362
[37] Statistical Relative Approximation on Modular Spaces
Kamil Demirci
Sevda Orhan
Results in Mathematics, 2017, 71 : 1167 - 1184
[38] Statistical Relative Approximation on Modular Spaces
Demirci, Kamil
Orhan, Sevda
RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 1167 - 1184
[39] Weighted approximation of continuous functions by sequences of linear positive operators
Tülin Coşkun
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2000, 110 : 357 - 362
[40] On infinite products of positive linear operators reproducing linear functions
Gonska, Heiner
Rasa, Ioan
POSITIVITY, 2013, 17 (01) : 67 - 79

← 1 2 3 4 5 →