Approximation properties of exponential sampling series in logarithmic weighted spaces (Q6563299)

The authors study the convergence properties of a family of exponential sampling series in the space of continuous functions with respect to a logarithmic weight function. The pointwise and uniform convergence of exponential sampling series in weighted spaces are established, and the rates of convergence via a suitable modulus of continuity in logarithmic weighted spaces are given. A quantitative representation of the pointwise asymptotic behavior of these series using Mellin-Taylor's expansion is also obtained.