Hermitian splines with exponential power links with an odd number of parameters
Abstract
A Hermitian spline with an exponential-power link of the form W2,2(x) with five parameters is constructed: expressions for calculating its parameters are derived and the conditions for its existence are established. The formula for calculating the error of the balanced approximation of functions by Hermitian splines with this link and the expression for the kernel of the approximation error are given. The results demonstrate better accuracy of approximation by Hermitian splines with an exponential-power link than with a polynomial link with the same
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