New forms of the Taylor’s remainder

Aristides I. Kechriniotis Technological Educational Institute (T.E.I.) of Lamia, 3rd Km. O.N.R. Lamia-Athens Lamia, 35100, GreeceCorrespondence[email protected]

K. S. Anastasiou Technological Educational Institute (T.E.I.) of Lamia 3rd Km, O.N.R. Lamia-Athens Lamia, 35100, Greece E-mail: [email protected]

B. A. Kotsos Technological Educational Institute (T.E.I.) of Lamia 3rd Km, O.N.R. Lamia-Athens Lamia, 35100, Greece E-mail: [email protected]

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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New forms of the Taylor’s remainder

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New forms of the Taylor’s remainder

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