New Asymptotic Evaluations for Sequences of Linear Positive Operators on C2π(R)

被引：0

作者：

Popa, Dumitru ^{[1
]}

机构：

[1] Ovidius Univ Constanta, Dept Math, Bd Mamaia 124, Constanta 900527, Romania

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 06期

关键词：

Korovkin approximation theorem; continuous 2 pi-periodic functions; singular integrals; asymptotic evaluation; APPROXIMATION;

D O I：

10.1007/s00025-024-02257-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we give new asymptotic evaluations for sequences of linear positive operators V-n:C-2 pi(R)-> C-2 pi(R). Our method of the proof is entirely different than those known in this area. As applications we complete and extend known asymptotic evaluations in this topic.

引用

页数：21

共 12 条

[1] Asymptotic Evaluations for Some Sequences of Positive Linear Operators
Dumitru Popa
Constructive Approximation, 2019, 50 : 293 - 321
[2] Asymptotic Evaluations for Some Sequences of Positive Linear Operators
Popa, Dumitru
CONSTRUCTIVE APPROXIMATION, 2019, 50 (02) : 293 - 321
[3] Bernstein Type Asymptotic Evaluations for Linear Positive Operators on C [α, β]
Popa, Dumitru
RESULTS IN MATHEMATICS, 2019, 74 (04)
[4] New Asymptotic Evaluations for Sequences of Linear Positive Operators on C2πR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{2\pi }\left( {{\mathbb {R}}}\right) $$\end{document}
Dumitru Popa
Results in Mathematics, 2024, 79 (6)
[5] Asymptotic properties of powers of linear positive operators which preserve e2
Mahmudov, N. I.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) : 4568 - 4575
[6] New estimates for the differences of positive linear operators
Acu, Ana Maria
Rasa, Ioan
NUMERICAL ALGORITHMS, 2016, 73 (03) : 775 - 789
[7] Positive linear operators which preserve x2
King, JP
ACTA MATHEMATICA HUNGARICA, 2003, 99 (03) : 203 - 208
[8] Positive linear operators which preserve x2
J. P. King
Acta Mathematica Hungarica, 2003, 99 : 203 - 208
[9] A Korovkin-type theorem for double sequences of positive linear operators via power series method
Sahin, Pinar Okcu
Dirik, Fadime
POSITIVITY, 2018, 22 (01) : 209 - 218
[10] Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}
Usta, Fuat
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2020, 28 (03): : 255 - 265

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