바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.18 No.4

Citation Share

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

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

Reference

1.

(2001). . J. Comput. Appl. Math., 131, 149-159. 10.1016/S0377-0427(00)00317-4.

2.

(2004). . J. Comput. Appl. Math., 169, 315-332. 10.1016/j.cam.2004.01.029.

3.

4.

(1927). . Trans. Amer. Math. Soc., 29, 163-177.

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

e-Submission OA Policy