Exact Constants in Approximation Theory (Paperback)

Preface; 1. Best approximation and duality in extremal problems; 2. Polynomials and spline-functions as approximating tools; 3. Comparison theorems and inequalities for the norms of functions and their derivatives; 4. Polynomial approximation of classes of functions with bounded r-th derivative in Lp; 5. Spline approximation of classes of functions with bounded r-th derivative; 6. Exact constants in Jackson inequalities; 7. Approximation of classes of functions determined by modulus of continuity; 8. N-widths of functional classes and closely related extremal problems; Appendixes; References.