Pointwise approximation by Bernstein–Kantorovich quasi-interpolants

DOI10.1524/ANLY.2006.26.2.259zbMath1152.41002OpenAlexW2366513828MaRDI QIDQ5386310

Shunsheng Guo, Ling Shi, Li-Xia Liu

Publication date: 14 May 2008

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2006.26.2.259

zbMATH Keywords

acceleration of convergencequasi-interpolantsBernstein-Kantorovich quasi-interpolantsdirect, inverse and equivalent theoremsDitzian's moduli of smoothness \(\omega^{2r}_{\varphi^\lambda}(f, t)\)

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

\(L_p\) approximation by Bernstein-Kantorovich quasi-interpolants ⋮ Quasi-interpolant operators in Bernstein basis

Cites Work

• A global inverse theorem for combinations of Bernstein polynomials
• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• Direct estimate for Bernstein polynomials
• APPROXIMATION BY BERNSTEIN QUASI-INTERPOLANTS
• Pointwise estimate for linear combinations of Bernstein-Kantorovich operators

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