CHEBYSHEV APPROXIMATION BY EXPONENTIAL EXPRESSION WITH RELATIVE ERROR

摘要

The properties of the Chebyshev approximation by an exponential expression with the smallest relative error are investigated and the sufficient condition for its existence is established. A method to determine the parameters of such approximation is proposed and justified. The error of the Chebyshev approximation by an exponential expression is estimated. A numerical example confirming the theoretical results is presented.