Approximation properties of complex \(q\)-Szász-Mirakjan operators in compact disks

DOI10.1016/j.camwa.2010.07.009zbMath1202.30061OpenAlexW1979725999MaRDI QIDQ614360

Nazim Idris Mahmudov

Publication date: 27 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.009

zbMATH Keywords

Voronovskaja-type resultcomplex approximation\(q\)-Szasz-Mirakjan operator

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (17)

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 ⋮ Chlodovsky type operators on parabolic domain ⋮ Approximation by a kind of complex modified \(q\)-Durrmeyer type operators in compact disks ⋮ Approximation Under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane ⋮ Approximation by Jakimovski-Leviatan type operators on a complex domain ⋮ Szasz-Schurer operators on a domain in complex plane ⋮ Approximation of complex q-Baskakov-Schurer-Szasz-Stancu operators in compact disks ⋮ Approximation by complex \(q\)-Szász-Kantorovich operators in compact disks, \(q>1\) ⋮ Ibragimov-Gadjiev operators based on \(q\)-integers ⋮ Approximation by genuine \(q\)-Bernstein-Durrmeyer polynomials in compact disks in the case \(q > 1\) ⋮ Approximation properties of complex modified genuine Szász-Durrmeyer operators ⋮ King type modification of q-Bernstein-Schurer operators ⋮ Approximation by \((p,q)\)-Lorentz polynomials on a compact disk ⋮ On certain \(q\)-analogue of Szász Kantorovich operators ⋮ A Note On Statistical Approximation Properties of Complex q-Szász- Mirakjan Operators ⋮ Overconvergence of complex Baskakov-Szász-Stancu operators

Cites Work

• Unnamed Item
• Convergence properties and iterations for q-stancu polynomials in compact disks
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks
• \(q\)-Bernstein polynomials and their iterates.
• Interpolation and approximation by polynomials
• Approximation by the \(q\)-Szász-Mirakjan operators
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• The approximation by \(q\)-Bernstein polynomials in the case \(q \downarrow 1\)
• The sharpness of convergence results for q-Bernstein polynomials in the case q > 1

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