Generalized blending type Bernstein operators based on the shape parameter ?

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dc.contributor.authorGezer, Halil
dc.contributor.authorAktuglu, Huseyin
dc.contributor.authorBaytunc, Erdem
dc.contributor.authorAtamert, Mehmet Salih
dc.date.accessioned2026-02-06T18:53:02Z
dc.date.issued2022
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn the present paper, we construct a new class of operators based on new type Bezier bases with a shape parameter lambda and positive parameter s. Our operators include some well-known operators, such as classical Bernstein, alpha-Bernstein, generalized blending type alpha-Bernstein and lambda-Bernstein operators as special case. In this paper, we prove some approximation theorems for these operators. Approximation properties of our operators are illustrated on graphs for variables s, alpha, lambda, and n. It should be mentioned that our operators for lambda = 1 have better approximation than Bernstein and alpha-Bernstein operators.
dc.identifier.doi10.1186/s13660-022-02832-x
dc.identifier.issn1029-242X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85128033416
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13660-022-02832-x
dc.identifier.urihttps://hdl.handle.net/11129/15810
dc.identifier.volume2022
dc.identifier.wosWOS:000829163500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectBernstein Operators
dc.subjectlambda-Bernstein Operators
dc.subjectalpha-Bernstein Operators
dc.subjectModulus of continuity
dc.titleGeneralized blending type Bernstein operators based on the shape parameter ?
dc.typeArticle

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