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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Error Inequalities in Polynomial Interpolation and Their Applications (Hardcover)
Loot Price: R3,079
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Error Inequalities in Polynomial Interpolation and Their Applications (Hardcover)
Series: Mathematics and its Applications, v. 262
Expected to ship within 10 - 15 working days
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This volume, which presents the cumulation of the authors' research
in the field, deals with Lidstone, Hermite, Abel-Gontscharoff,
Birkhoff, piecewise Hermite and Lidstone, spline and
Lidstone-spline interpolating problems. Explicit representations of
the interpolating polynomials and associated error functions are
given, as well as explicit error inequalities in various norms.
Numerical illustrations are provided of the importance and
sharpness of the various results obtained. Also demonstrated are
the significance of these results in the theory of ordinary
differential equations such as maximum principles, boundary value
problems, oscillation theory, disconjugacy and disfocality. The
book should be useful for mathematicians, numerical analysts,
computer scientists and engineers.
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