Voronovskaya type results and operators fixing two functions
The present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (Ln) of positive linear operators to a new sequence (Kn) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extend...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Vilnius Gediminas Technical University
2021-07-01
|
Series: | Mathematical Modelling and Analysis |
Subjects: | |
Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/13228 |
id |
doaj-46c1659a755e476fb8b6fd76a6bcb633 |
---|---|
record_format |
Article |
spelling |
doaj-46c1659a755e476fb8b6fd76a6bcb6332021-09-13T08:21:11ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102021-07-0126339541010.3846/mma.2021.1322813228Voronovskaya type results and operators fixing two functionsAna Maria Acu0Alexandra-Ioana Măduţa1Ioan Rasa2Lucian Blaga University of Sibiu, Department of Mathematics and Informatics, Str. Dr. I. Ratiu 5-7, RO-550012 Sibiu, RomaniaTechnical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului 28, Cluj-Napoca, RomaniaTechnical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului 28, Cluj-Napoca, RomaniaThe present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (Ln) of positive linear operators to a new sequence (Kn) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extended Complete Chebyshev system is described. The Voronovskaya type formula corresponding to the new sequence which is strongly influenced by the nature of the fixed functions is obtained. In the last section our results are compared with other results existing in literature.https://journals.vgtu.lt/index.php/MMA/article/view/13228positive linear operatorsvoronovskaya type theoremextended complete chebyshev systemoperators fixing two functions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ana Maria Acu Alexandra-Ioana Măduţa Ioan Rasa |
spellingShingle |
Ana Maria Acu Alexandra-Ioana Măduţa Ioan Rasa Voronovskaya type results and operators fixing two functions Mathematical Modelling and Analysis positive linear operators voronovskaya type theorem extended complete chebyshev system operators fixing two functions |
author_facet |
Ana Maria Acu Alexandra-Ioana Măduţa Ioan Rasa |
author_sort |
Ana Maria Acu |
title |
Voronovskaya type results and operators fixing two functions |
title_short |
Voronovskaya type results and operators fixing two functions |
title_full |
Voronovskaya type results and operators fixing two functions |
title_fullStr |
Voronovskaya type results and operators fixing two functions |
title_full_unstemmed |
Voronovskaya type results and operators fixing two functions |
title_sort |
voronovskaya type results and operators fixing two functions |
publisher |
Vilnius Gediminas Technical University |
series |
Mathematical Modelling and Analysis |
issn |
1392-6292 1648-3510 |
publishDate |
2021-07-01 |
description |
The present paper deals with positive linear operators which fix two functions. The transfer of a given sequence (Ln) of positive linear operators to a new sequence (Kn) is investigated. A general procedure to construct sequences of positive linear operators fixing two functions which form an Extended Complete Chebyshev system is described. The Voronovskaya type formula corresponding to the new sequence which is strongly influenced by the nature of the fixed functions is obtained. In the last section our results are compared with other results existing in literature. |
topic |
positive linear operators voronovskaya type theorem extended complete chebyshev system operators fixing two functions |
url |
https://journals.vgtu.lt/index.php/MMA/article/view/13228 |
work_keys_str_mv |
AT anamariaacu voronovskayatyperesultsandoperatorsfixingtwofunctions AT alexandraioanamaduta voronovskayatyperesultsandoperatorsfixingtwofunctions AT ioanrasa voronovskayatyperesultsandoperatorsfixingtwofunctions |
_version_ |
1717381330672549888 |