[Turkmath:6567] Ravi P. Agarwal (Talk-6 )

[Agacik Zafer]

Ravi P. Agarwal
Florida Institute of Technology, USA

COMPLEMENTARY LIDSTONE INTERPOLATION AND BOUNDARY VALUE PROBLEMS        
                                 

Date : Monday, August 10, 2009
Time : 15:00
Place : M203, METU Department of Mathematics

Abstract: We 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 shall 
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 an (2m + 1)th order di erential 
equation and the complementary Lidstone booundary conditions.

--
Dr. Agacik Zafer
Department of Mathmatics
06531 Ankara, Turkey
http://www.metu.edu.tr/~zafer <http://www.metu.edu.tr/%7Ezafer>

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