4 papers
Uniform Approximation by Polynomials with Integer Coefficients via the Bernstein Lattice
C. Sinan Güntürk, Weilin Li
Let be the metric space of real-valued continuous functions on with integer values at and , equipped with the uniform (supremum) metr…
High-performance quantization for spectral super-resolution
C. Sinan Güntürk, Weilin Li
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is…
Approximation by power series with coefficients
C. Sinan Gunturk
In this paper we construct certain type of near-optimal approximations of a class of analytic functions in the unit disc by power series with two distinct coefficients. More precis…
Ergodic Dynamics in Sigma-Delta Quantization: Tiling Invariant Sets and Spectral Analysis of Error
Nguyen T. Thao, C. Sinan Gunturk
This paper has two themes that are intertwined: The first is the dynamics of certain piecewise affine maps on the Euclidean space that arise from a class of analog-to-digital conve…