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Average errors for Kantorovitch operators on r-fold integrated Wiener space

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Publication:2930119
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DOI10.1142/S021969131461013XzbMath1302.41023OpenAlexW2026458404MaRDI QIDQ2930119

Xingrui Gao, Gui Qiao Xu

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/s021969131461013x


zbMATH Keywords

Kantorovich operatoraverage errorweighted \(L_p\)-norm\(r\)-fold integrated Wiener space


Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical interpolation (65D05) Simultaneous approximation (41A28)





Cites Work

  • Unnamed Item
  • Average error bounds of best approximation of continuous functions on the Wiener space
  • The approximation of continuous functions by positive linear operators
  • Average-case analysis of numerical problems
  • Information-based nonlinear approximation: an average case setting
  • Integration and approximation in arbitrary dimensions
  • Approximation and optimization on the Wiener space
  • The Simultaneous Approximation Average Errors for Bernstein Operators on the r-Fold Integrated Wiener Space




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