논문KCI 등재
A RELATIONSHIP BETWEEN THE LIPSCHITZ CONSTANTS APPEARING IN TAYLOR'S FORMULA
한국수학교육학회|2011.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제4호|pp. 345-351
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초록
Taylor's formula is a powerful tool in analysis. In this study, we as-sume that an operator is m-times Fr¶echet-di®erentiable and satis¯es a Lipschitz condition. We then obtain some Taylor formulas using only the Lipschitz constants. Applications are also provided.
Abstract
Taylor's formula is a powerful tool in analysis. In this study, we as-sume that an operator is m-times Fr¶echet-di®erentiable and satis¯es a Lipschitz condition. We then obtain some Taylor formulas using only the Lipschitz constants. Applications are also provided.
참고문헌 (4)
- I.K. Argyros, "A Newton-Kantorovich theorem for equations involving m-Frechet differ-entiable operators and applications in radiative transfer", J. Comput. Appl. Math, 131, pp.149~159 (2001)
- I.K. Argyros, "On the Newton-Kantorovich hypothesis for solving equations", J. Comput. Appl. Math, 169, pp.315~332 (2004)
- I.K. Argyros, "Advances on iterative procedures" (2011), Nova Science Publ., Inc
- L.M. Graves, "Riemann integration and Taylor's theorem in general analysis", Trans. Amer. Math. Soc, 29, pp.163~177 (1927)
관련 논문AI추천
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