Inverse theorems for multidimensional Bernstein operators

Uniqueness Theorems for Multidimensional inverse Problems with Unbounded Coefficients

Regularization Operators for Multidimensional Inverse Problems with Kronecker Product Structure

Regularization operators that penalize derivatives are approximated by Kronecker products. This allows direct regularization of multidimensional first-kind linear integral equations with separable kernels. An example of image deblurring is presented.

Bernstein Type Theorems for Higher Codimensionj

We show a Bernstein theorem for minimal graphs of arbitrary dimension and codimension under a bound on the slope that improve previous results and is independent of the dimension and codimension. The proof depends on the regularity theory for the harmonic Gauss map and the geometry of Grassmann manifolds.

Fast multidimensional Bernstein-Lagrange algorithms

In this paper we present two fast algorithms for the Bézier curves and surfaces of an arbitrary dimension. The first algorithm evaluates the Bernstein-Bézier curves and surfaces at a set of specific points by using the fast Bernstein-Lagrange transformation. The second algorithm is an inversion of the first one. Both algorithms reduce the initial problem to computation of some discrete Fourier ...

Inverse Approximation Theorems for . . .