This improvement, which we discuss theoretically for Stieltjes-type functions, is most notorious in cases of very poorly conditioned Padé problems. In many instances, an application of enhanced ...

Polynomial approximation constitutes a fundamental framework in numerical analysis and applied mathematics, where complex functions are represented by simpler polynomial forms.

When the logarithmic function is approximated by sequences of algebraic functions, similar questions can be posed as in the case of other similar problems. So, for example, it is interesting to ...

This paper develops a new scheme for improving an approximation method of a probability density function, which is inspired by the idea in the Hilbert space projection theorem. Moreover, we apply ...

By bringing diverse explanation methods into a common framework, this work (1) advances the conceptual understanding of these methods, revealing their shared local function approximation objective, ...

Approximation of Functions The Weierstrass Theorem and Taylor's Theorem The minimax approximation problem The least squares approximation problem Orthogonal polynomials and their properties ...

The eighth element of the opt argument specifies the type of finite difference approximation used to compute first- or second-order derivatives and whether the finite difference intervals, h, should ...