Chebyshev Approximation by Exponential-Power Expression
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The properties of the Chebyshev approximation by exponential-power expressions with four unknown parameters are investigated. The condition for the existence and uniqueness of such approximation with the smallest relative error is established. A method to determine the parameters of the Chebyshev approximation is proposed and justified. The error of the Chebyshev approximation by the exponential–power expression is estimated.
KeywordsChebyshev (uniform) approximation points of alternation Remez scheme approximation error
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