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Article

On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift

by
Mohamed M. Allan
* and
Smah M. Dardery
Department of Mathematics, Faculty of Education (Al Mahara), Hadramut University of Science and Technology, Yemen
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2011, 16(4), 913-922; https://doi.org/10.3390/mca16040913
Published: 1 December 2011

Abstract

The paper is concerned with the applicability of some new conditions for the convergence of Newton–kantorovich approximations to solution of nonlinear singular integral equation with shift of Uryson type. The results are illustrated in generalized Holder space.
Keywords: Newton–Kantorovich approximations; Nonlinear singular integral equations of Uryson type; Noether operator; Carleman shift Newton–Kantorovich approximations; Nonlinear singular integral equations of Uryson type; Noether operator; Carleman shift

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MDPI and ACS Style

Allan, M.M.; Dardery, S.M. On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift. Math. Comput. Appl. 2011, 16, 913-922. https://doi.org/10.3390/mca16040913

AMA Style

Allan MM, Dardery SM. On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift. Mathematical and Computational Applications. 2011; 16(4):913-922. https://doi.org/10.3390/mca16040913

Chicago/Turabian Style

Allan, Mohamed M., and Smah M. Dardery. 2011. "On the Application of New Convergence Criteria for Kantorovich Method to Nonlinear Singular Integral Equation with Shift" Mathematical and Computational Applications 16, no. 4: 913-922. https://doi.org/10.3390/mca16040913

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