Convergence properties and iterations for q-stancu polynomials in compact disks

DOI10.1016/j.camwa.2010.04.010zbMath1198.33009OpenAlexW2004499897MaRDI QIDQ604001

Nazim Idris Mahmudov

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.010

zbMATH Keywords

convergence\(q\)-integersiterates\(q\)-Stancu polynomial

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Iteration of real functions in one variable (26A18)

Related Items (23)

Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\) ⋮ Approximation of analytic functions with an arbitrary order by generalized Baskakov-Faber operators in compact sets ⋮ Approximation properties of bivariate complex \(q\)-Balàzs-Szabados operators of tensor product kind ⋮ Chlodovsky type operators on parabolic domain ⋮ Approximation properties of complex \(q\)-Szász-Mirakjan operators in compact disks ⋮ Approximation by genuine Durrmeyer-Stancu polynomials in compact disks ⋮ Approximation Under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane ⋮ Approximation by Bernstein–Faber–Walsh and Szász–Mirakjan–Faber–Walsh Operators in Multiply Connected Compact Sets of ℂ $$\mathbb{C}$$ ⋮ Approximation by Jakimovski-Leviatan type operators on a complex domain ⋮ Szasz-Schurer operators on a domain in complex plane ⋮ Asymptotic properties of powers of linear positive operators which preserve \(e_2\) ⋮ The norm estimates of the \(q\)-Bernstein operators for varying \(q>1\) ⋮ Evaluation of norm of \((p,q)\)-Bernstein operators ⋮ Approximation in compact sets by \(q\)-Stancu-Faber polynomials ⋮ On the \(q\)-Bernstein polynomials of piecewise linear functions in the case \(q>1\) ⋮ Approximation by genuine \(q\)-Bernstein-Durrmeyer polynomials in compact disks in the case \(q > 1\) ⋮ Approximation by \((p,q)\)-Lorentz polynomials on a compact disk ⋮ Approximation by Bernstein-Durrmeyer-type operators in compact disks ⋮ Approximation theorems for generalized complex Kantorovich-type operators ⋮ Generalized Szász-Mirakjan type operators via \(q\)-calculus and approximation properties ⋮ Higher order limit q-Bernstein operators ⋮ Overconvergence of complex Baskakov-Szász-Stancu operators ⋮ Approximation by complex Lupaş-Durrmeyer polynomials based on Polya distribution

Cites Work

• Approximation by complex Bernstein-stancu polynomials in compact disks
• Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks
• Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks
• \(q\)-Bernstein polynomials and their iterates.
• 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
• Over-iterates of Bernstein-Stancu operators
• The sharpness of convergence results for q-Bernstein polynomials in the case q > 1
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