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On the Properties of the Modified λ-Bernstein-Stancu Operators

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dc.contributor.authorLin, Zhi-Peng
dc.contributor.authorTorun, Gülten
dc.contributor.authorKangal, Esma
dc.contributor.authorKantar, Ülkü Dinlemez
dc.contributor.authorCai, Qing-Bo
dc.date.accessioned2026-01-04T20:55:44Z
dc.date.issued2024-09-27
dc.description.abstractIn this study, a new kind of modified λ-Bernstein-Stancu operators is constructed. Compared with the original λ-Bézier basis function, the newly operator basis function is more concise in form and has certain symmetry beauty. The moments and central moments are computed. A Korovkin-type approximation theorem is presented, and the degree of convergence is estimated with respect to the modulus of continuity, Peetre’s K-functional, and functions of the Lipschitz-type class. Moreover, the Voronovskaja type approximation theorem is examined. Finally, some numerical examples and graphics to show convergence are presented.
dc.description.urihttps://doi.org/10.3390/sym16101276
dc.identifier.doi10.3390/sym16101276
dc.identifier.eissn2073-8994
dc.identifier.openairedoi_dedup___::69cd5881dc8dd43c746a0eba862416b9
dc.identifier.orcid0000-0002-1897-0174
dc.identifier.orcid0000-0002-9873-4859
dc.identifier.orcid0000-0003-4759-7441
dc.identifier.scopus2-s2.0-85207684896
dc.identifier.startpage1276
dc.identifier.urihttps://hdl.handle.net/20.500.12597/42130
dc.identifier.volume16
dc.language.isoeng
dc.publisherMDPI AG
dc.relation.ispartofSymmetry
dc.rightsOPEN
dc.titleOn the Properties of the Modified λ-Bernstein-Stancu Operators
dc.typeArticle
dspace.entity.typePublication
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