Results 21 to 30 of about 80 (74)
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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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators
Advances in Difference Equations, 2020 We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
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Approximation Properties of Generalized λ‐Bernstein–Stancu‐Type Operators
Journal of Mathematics, Volume 2021, Issue 1, 2021., 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. Then, a Voronovskaja‐type theorem was given for the asymptotic behavior for these operators.
Qing-Bo Cai +3 more
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Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)
Journal of Function Spaces, 2021 In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu +3 more
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Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin +3 more
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Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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Journal of Function Spaces, 2021 In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
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Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus
Journal of Inequalities and Applications, 2019 The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
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A characterization of weighted peetre K-functionals
Journal of Approximation Theory, 1989 Let \(X=L_ p[a,b]\) (1\(\leq p\leq \infty)\) and w a ``weight'' (a continuous and locally positive function in [a,b]). Let \(W^ k_ p(w)\) (k\(\in N)\) be the set of all functions which are locally absolutely continuous together with \(g'...g^{(k-1)}\) and \(\| w^ kg^{(k)}\|_ ...
openaire +1 more source
Dunkl generalization of Phillips operators and approximation in weighted spaces
Advances in Difference Equations, 2020 The purpose of this article is to introduce a modification of Phillips operators on the interval [ 1 2 , ∞ ) $[ \frac{1}{2},\infty ) $ via a Dunkl generalization. We further define the Stancu type generalization of these operators as S n , υ ∗ ( f ; x ) =
M. Mursaleen +3 more
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