Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators [PDF]
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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Approximation properties of λ-Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu +2 more
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A-Statistical Convergence Properties of Kantorovich Type λ-Bernstein Operators Via (p, q)-Calculus [PDF]
Mathematics, 2020 In the present paper, Kantorovich type λ -Bernstein operators via (p, q)-calculus are constructed, and the first and second moments and central moments of these operators are estimated in order to achieve our main results.
Liang Zeng, Qing-Bo Cai, Xiao-Wei Xu
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Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators [PDF]
MathematicsIn the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented.
Md. Nasiruzzaman +3 more
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Some Statistical and Direct Approximation Properties for a New Form of the Generalization of q-Bernstein Operators with the Parameter λ [PDF]
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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(λ, ψ)-Bernstein-Kantorovich operators [PDF]
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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Kantorovich-Stancu type (α,λ,s) - Bernstein operators and their approximation properties [PDF]
Mathematical and Computer Modelling of Dynamical SystemsIn this study, we establish a new class of Kantorovich-Stancu type [Formula: see text]Bernstein operators via an adaptation of Bézier bases which are formulated with the inclusion of the shape parameters [Formula: see text], [Formula: see text], and a ...
Nezihe Turhan +2 more
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Approximation by a new Stancu variant of generalized (λ,μ)-Bernstein operators
Alexandria Engineering JournalThe primary objective of this work is to explore various approximation properties of Stancu variant generalized (λ,μ)-Bernstein operators. Various moment estimates are analyzed, and several aspects of local direct approximation theorems are investigated.
Qing-Bo Cai +3 more
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Chlodowsky type $\left( \lambda,q\right)$-Bernstein Stancu operators of Pascal rough triple sequences [PDF]
Journal of Mahani Mathematical Research, 2023 The fundamental concept of statistical convergence first was put forward by Steinhaus and at the same time but also by Fast \cite{Fast} independently both for complex and real sequences. In fact, the convergence in terms of statistical manner can be
Ayhan Esi +2 more
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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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