Approximation with Quasi-Splines

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.