Чебишовське наближення сумою многочлена й експоненти з інтерполюванням у крайніх точках

Abstract

We consider properties of the Chebyshev (uniform, minimax) approximation of a function by the sum of a polynomial and an exponential with the least absolute error and with interpolation at the end points of the interval. The sufficient conditions of such an approximation for a function f(x) are established, and an algorithm for the construction of such an approximation is proposed.