Differential Approximation of Completely Monotonic Functions
Copyright policy )Differential Approximation of Completely Monotonic Functions
The various differential approximation schemes for producing an exponential sum approximation to a given function F are placed within a common mathematical framework, and localization theorems are established in the important case where F is completely monotonic. The replacement of the least squares minimization by a Galerkin orthogonalization leads to a promising new variation of differential approximation which is analyzed and then illustrated by several numerical examples.
numerical examples, Algorithms for approximation of functions, differential approximation scheme, approximation with exponential sums, Trigonometric and exponential sums (general theory), algorithms, Approximation by other special function classes
numerical examples, Algorithms for approximation of functions, differential approximation scheme, approximation with exponential sums, Trigonometric and exponential sums (general theory), algorithms, Approximation by other special function classes
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