2000International Journal of Computer MathematicsRequires access

Perturbed padé approximation

Ahmed M. M. Khodier

Open publisher page 3 citations

Abstract

In the present work, we give a rational approximation of a function f(x) which has a convergent power series form. This approximation is called a perturbed Padé approximation of f(x). The error of the introduced approximation vanishes at some points in the interval [0,1]. A comparison of the results obtained by our introduced approximation and the first type Padé approximation is given

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What this paper is about

In the present work, we give a rational approximation of a function f(x) which has a convergent power series form. This approximation is called a perturbed Padé approximation of f(x). The error of the introduced approximation vanishes at some points in the interval [0,1]. A comparison of the results obtained by our introduced approximation and the first type Padé approximation is given

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Available abstract

In the present work, we give a rational approximation of a function f(x) which has a convergent power series form. This approximation is called a perturbed Padé approximation of f(x). The error of the introduced approximation vanishes at some points in the interval [0,1]. A comparison of the results obtained by our introduced approximation and the first type Padé approximation is given

Key concepts: Spouge's approximation, Mathematics, Minimax approximation algorithm, Approximation error, Power series, Approximation theory, Function approximation, Born–Huang approximation

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