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

한국수학교육학회지시리즈B:순수및응용수학 / 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. (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. 한국수학교육학회지시리즈B:순수및응용수학, 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

참고문헌

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

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

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

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Vol.18 No.4

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

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

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학