Modified Operators Interpolating at Endpoints
| dc.contributor.author | Acu, Ana Maria | |
| dc.contributor.author | Raşa, Ioan | |
| dc.contributor.author | Srivastava, Rekha | |
| dc.date.accessioned | 2021-10-01T22:04:24Z | |
| dc.date.available | 2021-10-01T22:04:24Z | |
| dc.date.copyright | 2021 | en_US |
| dc.date.issued | 2021 | |
| dc.description.abstract | Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions. We propose a simpler modification with the effect that the new operators interpolate at endpoints although they do not preserve the affine functions. We investigate the properties of these modified operators and obtain results concerning iterates and their limits, Voronovskaja-type results and estimates of several differences. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This work was supported by a Hasso Plattner Excellence Research Grant (LBUS-HPI-ERG- 2020-04), financed by the Knowledge Transfer Center of the Lucian Blaga University of Sibiu. | en_US |
| dc.identifier.citation | Acu, A. M., Raşa, I., & Srivastava, R. (2021). Modified Operators Interpolating at Endpoints. Mathematics, 9(17), 1-13. https://doi.org/10.3390/math9172051. | en_US |
| dc.identifier.uri | https://doi.org/10.3390/math9172051 | |
| dc.identifier.uri | http://hdl.handle.net/1828/13432 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematics | en_US |
| dc.subject | Markov operators | |
| dc.subject | iterates | |
| dc.subject | Voronovskaja-type results | |
| dc.subject | differences of operators | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Modified Operators Interpolating at Endpoints | en_US |
| dc.type | Article | en_US |