This book is devoted to the basic theory
of spline functions, both in the polynomial case and for more general piecewise structure (including Tchebycheffian and L-Splines). It covers the study of main algebraic, analytic, and approximation-theoretic properties of various spaces of splines (which in their simplest form are just spaces of piecewise polynomials). In Chapters 1 through 3, background and reference material are presented. The heart of the book consists of Chapters 4 through 8, where polynomial splines are treated;
Chapters 9 through 11 deal with the theory of generalized splines; and Chapters 12 and 13 are devoted to multidimensional splines. |
