Chebyshev approximation of a multivariable function with reproducing the values of the function and its partial derivatives

DOI10.1007/S10559-023-00601-2zbMath1528.41077OpenAlexW4385318748MaRDI QIDQ6087581

L. S. Melnychok, P. S. Malachivskyy, Ya. V. Pizyur

Publication date: 15 November 2023

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-023-00601-2

zbMATH Keywords

least squares methodpartial derivativesChebyshev approximationmultivariable functionsmean-power approximationvariable weight functionChebyshev approximation with condition

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

• Chebyshev approximation of functions by the sum of a polynomial and an expression with a nonlinear parameter and endpoint interpolation
• Alternation for best spline approximations
• Chebyshev approximation of multivariable functions by the exponential expression
• Chebyshev approximation of functions of several variables
• Discrete chebyshev approximation with interpolation
• Chebyshev approximation of multivariable functions by a constrained rational expression
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