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dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorPinelas, S.
dc.contributor.authorWong, Patriciajy
dc.date.accessioned2017-10-04T19:34:07Z
dc.date.available2017-10-04T19:34:07Z
dc.date.issued2009-11-06
dc.identifier.citationAgarwal, R. P., Pinelas, S., & Wong, P. J. Y. (2009). Complementary lidstone interpolation and boundary value problems. Journal of Inequalities and Applications, 2009en_US
dc.identifier.urihttp://hdl.handle.net/11141/1724
dc.descriptionComplementary Lidstone interpolation, Lidstone boundary, Picard's,en_US
dc.description.abstractWe shall introduce and construct explicitly the complementary Lidstone interpolating polynomial P 2m (t) of degree 2m, which involves interpolating data at the odd-order derivatives. For P 2m (t) we will provide explicit representation of the error function, best possible error inequalities, best possible criterion for the convergence of complementary Lidstone series, and a quadrature formula with best possible error bound. Then, these results will be used to establish existence and uniqueness criteria, and the convergence of Picard's, approximate Picard's, quasilinearization, and approximate quasilinearization iterative methods for the complementary Lidstone boundary value problems which consist of a (2m+1) th order differential equation and the complementary Lidstone boundary conditions. Copyright © 2009 Ravi P. Agarwal et al.en_US
dc.language.isoen_USen_US
dc.rightsThis article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. © Agarwal; licensee Springer. 2009en_US
dc.rights.urihttp://creativecommons.org/licenses/by/2.0en_US
dc.titleComplementary Lidstone interpolation and boundary value problemsen_US
dc.typeArticleen_US
dc.identifier.doi10.1155/2009/624631


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This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. © Agarwal; licensee Springer. 2009
Except where otherwise noted, this item's license is described as This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. © Agarwal; licensee Springer. 2009