Differences of Positive Linear Operators on Simplices
The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K-functionals. Several applications...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5531577 |
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| _version_ | 1832563132672770048 |
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| author | Ana-Maria Acu Gülen Başcanbaz-Tunca Ioan Rasa |
| author_facet | Ana-Maria Acu Gülen Başcanbaz-Tunca Ioan Rasa |
| author_sort | Ana-Maria Acu |
| collection | DOAJ |
| description | The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K-functionals. Several applications and examples illustrate the general results. |
| format | Article |
| id | doaj-art-1e13f18b824e4947a64d87813ebcc431 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1e13f18b824e4947a64d87813ebcc4312025-02-03T01:20:51ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55315775531577Differences of Positive Linear Operators on SimplicesAna-Maria Acu0Gülen Başcanbaz-Tunca1Ioan Rasa2Lucian Blaga University of Sibiu, Department of Mathematics and Informatics, Str. Dr. I. Ratiu, No. 5-7, RO-550012 Sibiu, RomaniaAnkara University, Faculty of Science, Department of Mathematics, Str. Dögol, 06100 Besevler, Ankara, TurkeyTechnical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului No. 28, 400114 Cluj-Napoca, RomaniaThe aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K-functionals. Several applications and examples illustrate the general results.http://dx.doi.org/10.1155/2021/5531577 |
| spellingShingle | Ana-Maria Acu Gülen Başcanbaz-Tunca Ioan Rasa Differences of Positive Linear Operators on Simplices Journal of Function Spaces |
| title | Differences of Positive Linear Operators on Simplices |
| title_full | Differences of Positive Linear Operators on Simplices |
| title_fullStr | Differences of Positive Linear Operators on Simplices |
| title_full_unstemmed | Differences of Positive Linear Operators on Simplices |
| title_short | Differences of Positive Linear Operators on Simplices |
| title_sort | differences of positive linear operators on simplices |
| url | http://dx.doi.org/10.1155/2021/5531577 |
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