Selected papers. Vol.2

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions....Pages 3-57
Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions....Pages 58-87
Cardinal Interpolation and Spline Functions IV. The Exponential Euler Splines....Pages 88-110
Cardinal Interpolation and Spline Functions VII. the Behavior of Cardinal Spline Interpolants as their Degree Tends to Infinity....Pages 111-135
On the Remainders and the Convergence of Cardinal Spline Interpolation for Almost Periodic Functions....Pages 137-163
Cardinal Splines....Pages 164-166
Front Matter....Pages 167-167
On Smoothing Operations and their Generating Functions....Pages 169-200
Spline Functions and the Problem of Graduation....Pages 201-204
Front Matter....Pages 205-205
Über variationsvermindernde lineare Transformationen....Pages 207-214
Zur Abzählung der reellen Wurzeln algebraischer Gleichungen....Pages 216-234
On the Generating Functions of Totally Positive Sequences I....Pages 235-245
On Variation Diminishing Spline Approximation Methods....Pages 247-268
Total Positivity and Variation Diminishing Transformations....Pages 269-273
Front Matter....Pages 275-275
On Pólya Frequency Functions....Pages 277-320
On Pólya frequency functions. II: Variation-diminishing integral operators of the convolution type....Pages 321-330
On Pólya Frequency Functions. III. The Positivity of Translation Determinants with an Application to the Interpolation Problem by Spline Curves....Pages 332-345
On Pólya Frequency Functions IV: The Fundamental Spline Functions and their Limits....Pages 347-383
Pólya frequency functions and sequences....Pages 384-387
Front Matter....Pages 389-389
Spline Interpolation and Best Quadrature Formulae....Pages 391-396
On Best Approximations of Linear Operators....Pages 397-405
Front Matter....Pages 389-389
On Interpolation by Spline Functions and its Minimal Properties....Pages 407-427
The variational approach to splines....Pages 428-430
Front Matter....Pages 431-431
On Hermite-Birkhoff Interpolation....Pages 432-437
Schoenberg’s work on Hermite-Birkhoff interpolation....Pages 438-440
Back Matter....Pages 441-441