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ISSN : 1226-0657

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Vol.18 No.4
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A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.345-351
https://doi.org/10.7468/jksmeb.2011.18.4.345
Argyros, Ioannis K.
Ren, Hongmin
Argyros,, I. K. , & Ren,, H. (2011). A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 345-351, https://doi.org/10.7468/jksmeb.2011.18.4.345
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Abstract

Taylor's formula is a powerful tool in analysis. In this study, we assume that an operator is m-times Fr<TEX>$\acute{e}$</TEX>chet-differentiable and satisfies a Lipschitz condition. We then obtain some Taylor formulas using only the Lipschitz constants. Applications are also provided.

keywords
Taylor's formula, Fr<tex> $\acute{e}$</tex>echet-differentiable operator, iterative processes, Banach space

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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