Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ

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dc.contributor.authorSrivastava, H. M.
dc.contributor.authorÖzger, Faruk
dc.contributor.authorMohiuddine, S.A.
dc.date.accessioned2019-03-27T18:24:35Z
dc.date.available2019-03-27T18:24:35Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractWe construct Stancu-type Bernstein operators based on Bézier bases with shape parameter λ∈[−1,1] and calculate their moments. The uniform convergence of the operator and global approximation result by means of Ditzian-Totik modulus of smoothness are established. Also, we establish the direct approximation theorem with the help of second order modulus of smoothness, calculate the rate of convergence via Lipschitz-type function, and discuss the Voronovskaja-type approximation theorems. Finally, in the last section, we construct the bivariate case of Stancu-type λ -Bernstein operators and study their approximation behaviors.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H.M., Özger, F. & Mohiuddine, S.A. (2019). Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ. Symmetry, 11(3), 316. https://doi.org/10.3390/sym11030316en_US
dc.identifier.urihttp://dx.doi.org/10.3390/sym11030316
dc.identifier.urihttp://hdl.handle.net/1828/10669
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectStancu-type Bernstein operators
dc.subjectB�zier bases
dc.subjectVoronovskaja-type theorems
dc.subjectmodulus of continuity
dc.subjectrate of convergence
dc.subjectbivariate operators
dc.subjectapproximation properties
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleConstruction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λen_US
dc.typeArticleen_US

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