Approximation by quaternion \((p,q)\)-Bernstein polynomials and Voronovskaja type result on compact disk
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Publication:1716330
DOI10.1186/s13662-018-1906-2zbMath1448.41004OpenAlexW2902926943MaRDI QIDQ1716330
Ambreen Naaz, Mohammad Mursaleen, Haifa Bin Jebreen
Publication date: 4 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1906-2
order of approximationanalytic functionscompact diskVoronovskaja type results\((p, q)\)-Bernstein-polynomials
Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)
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Unnamed Item, Bivariate Bernstein-Schurer-Stancu type GBS operators in \((p,q)\)-analogue, A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus, The convergence of \((p,q)\)-Bernstein operators for the Cauchy kernel with a pole via divided difference, Dunkl-type generalization of the second kind beta operators via \((p, Q)\)-calculus, On estimation of uniform convergence of analytic functions by $(p,q)$-Bernstein operators
Cites Work
- On weighted statistical convergence based on \((p,q)\)-integers and related approximation theorems for functions of two variables
- Voronovskaja-type results in compact disks for quaternion \(q\)-Bernstein operators, \(q\geq 1\)
- Approximation by \((p,q)\)-Lorentz polynomials on a compact disk
- Power series and analyticity over the quaternions
- Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems
- \(q\)-Bernstein polynomials and their iterates.
- Deferred weighted \(\mathcal{A}\)-statistical convergence based upon the \((p, q)\)-Lagrange polynomials and its applications to approximation theorems
- Approximation by \((p,q)\)-Baskakov-Durrmeyer-Stancu operators
- Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
- Approximation by bivariate \((p,q)\)-Bernstein-Kantorovich operators
- Chlodowsky type generalization of \((p,q)\)-Szász operators involving Brenke type polynomials
- Approximation by quaternion \(q\)-Bernstein polynomials, \(q > 1\)
- Dunkl generalization of \(q\)-Szász-Mirakjan Kantorovich operators which preserve some test functions
- Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
- Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
- A new theory of regular functions of a quaternionic variable
- Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
- A generalization of the Bernstein polynomials based on the q-integers
- Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory
- Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers
- (p,q)‐Generalization of Szász–Mirakyan operators
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