Approximation and geometric properties of complex \(\alpha\)-Bernstein operator

DOI10.1007/S00025-018-0953-ZzbMath1412.30120OpenAlexW2911377980MaRDI QIDQ667576

Nursel Çetin

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0953-z

zbMATH Keywords

order of approximationsimultaneous approximationVoronovskaja-type resultcomplex \(\alpha\)-Bernstein operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28)

Related Items (9)

Approximation properties of generalized blending type Lototsky-Bernstein operators ⋮ Construction of the Kantorovich variant of the Bernstein-Chlodovsky operators based on parameter α ⋮ On complex modified Bernstein-Stancu operators ⋮ Approximation theorems for complex \(\alpha\)-Bernstein-Kantorovich operators ⋮ Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators ⋮ Approximation by α-Bernstein-Schurer operator ⋮ Blending type approximation by modified Bernstein operators ⋮ Approximation by complex perturbed Bernstein-type operators ⋮ Approximation by α-Bernstein-Schurer-Stancu operators

Cites Work

• Approximation of functions by a new family of generalized Bernstein operators
• On the Convergence of Bernstein Polynomials for Some Unbounded Analytic Functions
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