\(L_p\) approximation by Bernstein-Kantorovich quasi-interpolants

DOI10.1007/S11766-009-1795-YzbMath1199.41083OpenAlexW2076250966MaRDI QIDQ846807

Ling Shi, Shunsheng Guo, Li-Xia Liu

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1795-y

zbMATH Keywords

quasi-interpolantBernstein-Kantorovich operatorDitzian-Totik modulus

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Inverse theorems in approximation theory (41A27)

Cites Work

• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• APPROXIMATION BY BERNSTEIN QUASI-INTERPOLANTS
• Pointwise approximation by Bernstein–Kantorovich quasi-interpolants
• Pointwise estimate for linear combinations of Bernstein-Kantorovich operators
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