Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks

DOI10.1016/j.camwa.2008.02.014zbMath1155.41303OpenAlexW2075358786MaRDI QIDQ1004780

Sorin Gheorghe Gal

Publication date: 12 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.02.014

zbMATH Keywords

starlikenessVoronovskaja's theoremquantitative estimatescomplex Favard-Szász-Mirakjan operatorsconvexity and spirallikeness

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

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Cites Work

• Uniform approximation by positive operators on infinite intervals
• Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
• On a generalized Bernstein polynomial of Jakimovski and Leviatan
• Convergence of extended Bernstein polynomials in the complex plane
• Sur le multiplicateurs d'interpolation
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