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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.18 No.4

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A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA

A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2011, v.18 no.4, pp.345-351
https://doi.org/10.7468/jksmeb.2011.18.4.345
Argyros, Ioannis K. (Cameron university, Department of Mathematics Sciences)
Ren, Hongmin (College of Information and Electronics)
Argyros, Ioannis K., & Ren, Hongmin. (2011). A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA, 18(4), 345-351, https://doi.org/10.7468/jksmeb.2011.18.4.345

Abstract

Taylor's formula is a powerful tool in analysis. In this study, we assume that an operator is m-times Fr$\acute{e}$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

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학

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