Results 11 to 20 of about 825,348 (149)
Blending type approximation by G B S operators of bivariate tensor product of λ-Bernstein-Kantorovich type. [PDF]
J Inequal Appl, 2018 In this paper, we introduce a family of GBS $GBS$ operators of bivariate tensor product of λ-Bernstein–Kantorovich type. We estimate the rate of convergence of such operators for B-continuous and B-differentiable functions by using the mixed modulus of ...
Cai QB, Zhou G.
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On the shape-preserving properties of λ-Bernstein operators
Journal of Inequalities and Applications, 2022 We investigate the shape-preserving properties of λ-Bernstein operators B n , λ ( f ; x ) $B_{n,\lambda } ( f;x ) $ that were recently introduced Bernstein-type operators defined by a new Beziér basis with shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in ...
Lian-Ta Su, Gökhan Mutlu, Bayram Çekim
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On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus
Journal of Function Spaces, 2020 In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
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Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators
Journal of Mathematics, 2021 The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai +2 more
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On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ
Journal of Inequalities and Applications, 2023 In this work, we consider several approximation properties of a Durrmeyer variant of q-Bernstein operators based on Bézier basis with the shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in[ -1,1]$ .
Lian-Ta Su +3 more
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On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators
Journal of Function Spaces, 2020 In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
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Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
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A Bézier variant of ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu operators
Journal of Inequalities and ApplicationsThis paper mainly introduces ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich-Stancu-Bézier operators that are a natural continuation of Stancu-type ( λ , μ ) $(\lambda ,\mu )$ -Bernstein-Kantorovich operators constructed by Q.-B. Cai et al.
Xiu-Liang Qiu, Murat Bodur, Qing-Bo Cai
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(λ, ψ)-Bernstein-Kantorovich operators
Demonstratio MathematicaIn this article, we introduce a new family of (λ,ψ)\left(\lambda ,\psi )-Bernstein-Kantorovich operators which depends on a parameter λ\lambda , derived from the basis functions of Bézier curves and an integrable function ψ\psi .
Aktuğlu Hüseyin +3 more
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AxiomsIn this study, a different generalization of q-Bernstein operators with the parameter λ∈[−1,1] is created. The moments and central moments of these operators are calculated, a statistical approximation result for this new type of (λ,q)-Bernstein ...
Lian-Ta Su +3 more
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