Modified Operators Interpolating at Endpoints

dc.contributor.authorAcu, Ana Maria
dc.contributor.authorRaşa, Ioan
dc.contributor.authorSrivastava, Rekha
dc.date.accessioned2021-10-01T22:04:24Z
dc.date.available2021-10-01T22:04:24Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractSome 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.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis 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.citationAcu, 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.urihttps://doi.org/10.3390/math9172051
dc.identifier.urihttp://hdl.handle.net/1828/13432
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectMarkov operatorsen_US
dc.subjectiteratesen_US
dc.subjectVoronovskaja-type resultsen_US
dc.subjectdifferences of operatorsen_US
dc.titleModified Operators Interpolating at Endpointsen_US
dc.typeArticleen_US

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