In the theory of splines, a function is approximated piece-wise by
(usually cubic) polynomials. Quasi-splines is the natural extension
of this, allowing us to use any useful class of functions adapted
to the problem.
Approximation with Quasi-Splines is a detailed account of this
highly useful technique in numerical analysis.
The book presents the requisite approximation theorems and
optimization methods, developing a unified theory of one and
several variables. The author applies his techniques to the
evaluation of definite integrals (quadrature) and its
many-variables generalization, which he calls "cubature."
This book should be required reading for all practitioners of the
methods of approximation, including researchers, teachers, and
students in applied, numerical and computational mathematics.
General
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