한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제14권4호
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- Pages.279-282
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- 2007
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
A NOTE ON THE SOLUTION OF A NONLINEAR SINGULAR INTEGRAL EQUATION WITH A SHIFT IN GENERALIZED HOLDER SPACE
초록
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].