The average errors for linear combinations of Bernstein–Kantorovich operators on the Wiener space

DOI10.1142/S0219691314610050zbMath1302.41027OpenAlexW1983497499MaRDI QIDQ2930109

Zengbo Zhang, Yanjie Jiang

Publication date: 18 November 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691314610050

zbMATH Keywords

Bernstein-Kantorovich operatorsWiener spacelinear combinationsaverage errorweighted \(L_{p}\)-norm

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Simultaneous approximation (41A28) Approximation by positive operators (41A36)

Cites Work

• The lower estimate for the linear combinations of Bernstein-Kantorovich operators
• Average-case analysis of numerical problems
• The Simultaneous Approximation Average Errors for Bernstein Operators on the r-Fold Integrated Wiener Space
• Linear Combinations of Bernstein Polynomials

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