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<div>Ravi P. Agarwal</div>
<div>Florida Institute of Technology, USA</div>
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COMPLEMENTARY LIDSTONE INTERPOLATION AND BOUNDARY VALUE PROBLEMS
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Date : Monday, August 10, 2009<br>
Time : 15:00<br>
Place : M203, METU Department of Mathematics<br>
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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.</span>
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<div><span style="border-collapse: collapse;">--<br clear="all">
</span>Dr. Agacik Zafer<br>
Department of Mathmatics<br>
06531 Ankara, Turkey<br>
<a href="http://www.metu.edu.tr/%7Ezafer" target="_blank"
style="color: rgb(0, 101, 204);">http://www.metu.edu.tr/~zafer</a><br>
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