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Tabla de Contenidos:
  • Front Cover; Quantitative Approximation; Copyright Page; Table of Contents; Contributors; Preface; CHAPTER 1. ON AN INEQUALITY FOR THE SHARP FUNCTION; REFERENCES; CHAPTER 2. ON THE BEST CO-APPROXIMATION IN A HILBERT SPACE; 1. PRELIMINARY REMARKS; 2. PROOF OF THE THEOREM; REFERENCES; CHAPTER 3. WHAT IS THE MAIN DIAGONAL OF A BIINFINITE BAND MATRIX?; INTRODUCTION; 1. MESH RATIO RESTRICTIONS IN EVEN-ORDER SPLINE INTERPOLATION AT KNOTS; 2. THE INVERSE OF A BIINFINITE BAND MATRIX; 3. CUBIC SPLINE INTERPOLATION AT KNOTS; REFERENCES; CHAPTER 4. RATIONAL APPROXIMATION AND EXOTIC LIPSCHITZ SPACES
  • 1. INTRODUCTION2. SOME DETERMINANTS; 3. THE CASE n ODD: n = 2r+1; 4. EXPLICIT FORMS FOR THE FUNDAMENTAL POLYNOMIALS; 5. CONCLUSION; REFERENCES; CHAPTER 8. MONOTONE APPROXIMATION BY SPLINE FUNCTIONS; 1. INTRODUCTION; 2. MONOTONE APPROXIMATION BY PIECEWISE POLYNOMIALS; 3. MONOTONE APPROXIMATION BY SPLINES; REFERENCES; CHAPTER 9. APPROXIMATION BY SMOOTH MULTIVARIATE SPLINES ONNON-UNI FORM GRIDS; 1. INTRODUCTION; 2. LOCAL REFINEMENTS OF UNIFORMCONFIGURATIONS OF KNOT SETS; 3. LOCAL ERROR ESTIMATES; REFERENCES; CHAPTER 10. APPROXIMATION BY SMALL RANK TENSOR PRODUCTS OF SPLINES; REFERENCES