Approximation of fractional derivatives by Brass-Stancu operators
In this paper, we study uniform approximation of fractional derivatives in Caputo sense by Brass-Stancu operators. For the rate of approximation, we give some estimates in terms of the modulus of continuity.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2025-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2025-0016 |
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| _version_ | 1849727322608893952 |
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| author | Başcanbaz-Tunca Gülen Erençin Ayşegül Feza Güvenilir A. Păltănea Radu |
| author_facet | Başcanbaz-Tunca Gülen Erençin Ayşegül Feza Güvenilir A. Păltănea Radu |
| author_sort | Başcanbaz-Tunca Gülen |
| collection | DOAJ |
| description | In this paper, we study uniform approximation of fractional derivatives in Caputo sense by Brass-Stancu operators. For the rate of approximation, we give some estimates in terms of the modulus of continuity. |
| format | Article |
| id | doaj-art-d3ea723f0dff4894bbff8fcda642fe2e |
| institution | DOAJ |
| issn | 1844-0835 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj-art-d3ea723f0dff4894bbff8fcda642fe2e2025-08-20T03:09:52ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352025-06-0133252610.2478/auom-2025-0016Approximation of fractional derivatives by Brass-Stancu operatorsBaşcanbaz-Tunca Gülen0Erençin Ayşegül1Feza Güvenilir A.2Păltănea Radu31Faculty of Science, Department of Mathematics, Ankara University, 06100 Beşevler, Ankara, Turkey2Faculty of Arts and Science, Department of Mathematics, Bolu Abant İzzet Baysal University, 14280, Bolu, Turkey.3Faculty of Science, Department of Mathematics, Ankara University, 06100 Beşevler, Ankara, Turkey4Faculty of Mathematics and Computer Science, Transilvania University, 50, Maniu Iuliu Street, 500091, Braşov, Romania.In this paper, we study uniform approximation of fractional derivatives in Caputo sense by Brass-Stancu operators. For the rate of approximation, we give some estimates in terms of the modulus of continuity.https://doi.org/10.2478/auom-2025-0016brass-stancu operatorsfractional derivativesimultaneous approximationmodulus of continuityprimary 41a25secondary 41a28, 41a36, 26a33 |
| spellingShingle | Başcanbaz-Tunca Gülen Erençin Ayşegül Feza Güvenilir A. Păltănea Radu Approximation of fractional derivatives by Brass-Stancu operators Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica brass-stancu operators fractional derivative simultaneous approximation modulus of continuity primary 41a25 secondary 41a28, 41a36, 26a33 |
| title | Approximation of fractional derivatives by Brass-Stancu operators |
| title_full | Approximation of fractional derivatives by Brass-Stancu operators |
| title_fullStr | Approximation of fractional derivatives by Brass-Stancu operators |
| title_full_unstemmed | Approximation of fractional derivatives by Brass-Stancu operators |
| title_short | Approximation of fractional derivatives by Brass-Stancu operators |
| title_sort | approximation of fractional derivatives by brass stancu operators |
| topic | brass-stancu operators fractional derivative simultaneous approximation modulus of continuity primary 41a25 secondary 41a28, 41a36, 26a33 |
| url | https://doi.org/10.2478/auom-2025-0016 |
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