2006Journal of Interdisciplinary MathematicsRequires access

New forms of the Taylor’s remainder

Aristides I. Kechriniotis, K. S. Anastasiou, Bill A. Kotsos

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Abstract

We present two new forms of the remainder in Taylor’s formula involving a generalization of the Taylor-Langrange formula. An asymptotic formula of the Taylor’s remainder for real analytic functions is given as application.

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What this paper is about

We present two new forms of the remainder in Taylor’s formula involving a generalization of the Taylor-Langrange formula. An asymptotic formula of the Taylor’s remainder for real analytic functions is given as application.

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Available abstract

We present two new forms of the remainder in Taylor’s formula involving a generalization of the Taylor-Langrange formula. An asymptotic formula of the Taylor’s remainder for real analytic functions is given as application.

Key concepts: Remainder, Taylor series, Taylor's theorem, Mathematics, Generalization, Chinese remainder theorem, Taylor rule, Calculus (dental)

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