Difference of Some Positive Linear Approximation Operators for Higher-Order Derivatives

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dc.contributor.authorGupta, Vijay
dc.contributor.authorAcu, Ana Maria
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2020-06-17T15:44:04Z
dc.date.available2020-06-17T15:44:04Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractIn the present paper, we deal with some general estimates for the difference of operators which are associated with different fundamental functions. In order to exemplify the theoretical results presented in (for example) Theorem 2, we provide the estimates of the differences between some of the most representative operators used in Approximation Theory in especially the difference between the Baskakov and the Szász–Mirakyan operators, the difference between the Baskakov and the Szász–Mirakyan–Baskakov operators, the difference of two genuine-Durrmeyer type operators, and the difference of the Durrmeyer operators and the Lupaş–Durrmeyer operators. By means of illustrative numerical examples, we show that, for particular cases, our result improves the estimates obtained by using the classical result of Shisha and Mond. We also provide the symmetry aspects of some of these approximations operators which we have studied in this paper.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipProject financed by Lucian Blaga University of Sibiu & Hasso Plattner Foundation Research Grants LBUS-IRG-2019-05.en_US
dc.identifier.citationGupta, V.; Acu, A. M.; & Srivastava, H. M. (2020). Difference of some positive linear approximation operators for higher-order derivatives. Symmetry, 12(6), DOI: 10.3390/sym12060915en_US
dc.identifier.urihttp://dx.doi.org/10.3390/sym12060915
dc.identifier.urihttp://hdl.handle.net/1828/11841
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectapproximation operators
dc.subjectdifferences of operators
dc.subjectSzász–Mirakyan–Baskakov operators
dc.subjectDurrmeyer type operators
dc.subjectBernstein polynomials
dc.subjectmodulus of continuity
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleDifference of Some Positive Linear Approximation Operators for Higher-Order Derivativesen_US
dc.typeArticleen_US

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