# Volume 6 – 2013

## Research Articles

## Special Issue

### 3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12)

Proceedings of the Workshop held in Alba di Canazei (TN, Italy), 9-14 September 2012.**Guest Editors:**Costanza Conti, Ronald Cools, Stefano De Marchi, Georges Klein, Michela Redivo-Zaglia, Marco Vianello and Wolfgang zu-Castell

**Note:**the proceedings papers are under review and they will appear in order of acceptance.

- Martin Buhmann

**Conference report**•

*pages 1−2* - Yuan Xu

**Minimal cubature rules on an unbounded domain**•

*pages 3−8* - Qi Chen •
Hartmut Prautzsch

**Subdivision by WAVES - Weighted AVEraging Schemes**•

**Subdivision by WAVES - Weighted AVEraging Schemes: Erratum**•

*pages 9−19* - Stefano De Marchi •
Marco Vianello

**Polynomial approximation on pyramids, cones and solids of rotation**•

*pages 20−26* - Laura Dykes •
Lothar Reichel

**A family of range restricted iterative methods for linear discrete ill-posed problems**•

*pages 27−36* - Robert Schaback

**Direct discretizations with applications to meshless methods for PDEs**•

*pages 37−50* - Giorgio Mantica

**Computing the equilibrium measure of a system of intervals converging to a Cantor set**•

*pages 51−61* - Hermann Render and Ognyan Kounchev

**Error Estimates for Polyharmonic Cubature Formulas**•

*pages 62−73* - Gert Tamberg

**Approximation error of generalized Shannon sampling operators with bandlimited kernels in terms of an averaged modulus of smoothness**•

*pages 74−82* - Daniel Wirtz and Bernard Haasdonk

**A Vectorial Kernel Orthogonal Greedy Algorithm**•

*pages 83−100* - Heinz−Joachim Rack

**Variation on a Theme of Chebyshev: Sharp Estimates for the Leading Coefficients of Bounded Polynomials**•

*pages 101−119*

## Slides

**Slides of the tutorial on Chebfun**given at the Dolomites Research Week on Approximation 2013.