논문KCI 등재
A Note on the Solution of a Nonlinear Singular Integral Equation with a Shift in Generalized H？older Space
한국수학교육학회|2007.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제4호|pp. 279-282
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Abstract
Using the center instead of the Lipschitz condition we show how to provide weaker sufficient convergence conditions of the modified Newton Kantorovich method for the solution of nonlinear singular integral equations with Curleman shift (NLSIES). Finer error bounds on the distances involved and a more precise information on the location of the solution are also obtained and under the same computational cost than in [1].
참고문헌 (4)
- "On solution of nonlinear singular integral equations with shift in generalizedH¨older space", 12, pp.1323~1334 (2001)
- "On the Newton-Kantorovich hypothesis for solving equations", 169, pp.315~332 (2004)
- "Newton Methods" (2005), Nova Science Publ. Corp., New York
- "Functional Analysis in normed spaces" (1982), PergamonPress
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