Lin, Z.P.Torun, G.Kangal, E.Kantar, Ü.D.Cai, Q.B.2024-11-072024-11-07202420738994https://hdl.handle.net/20.500.12597/33719In this study, a new kind of modified (Formula presented.) -Bernstein-Stancu operators is constructed. Compared with the original (Formula presented.) -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.eninfo:eu-repo/semantics/openAccessBézier Bases functions, Korovkin type theorem, modulus of continuity, rate of approximation, Voronovskaja type theorem, λ-Bernstein-Stancu type operatorsarticle10.3390/sym161012762-s2.0-852076848961610