Generalised Sampling Approximation Theorems

Approximation properties of different generalizations of multivariate sampling expansions with matrix dilation are studied. Error estimations for so-called ’’differential expansions’’ and ’’falsified expansions’’ are given in terms of the Fourier transform of the approximated function. Another special case is generalized Kantorovich-Kotelnikov expansions. For this case, the rate of convergence is given in terms of the classical moduli of smoothness of the approximated function. Several examples of the Kantorovich-Kotelnikov operators generated by the sink-function and its linear combinations are provided.

• Speaker: Maria Skopina (St.Petersburg University, Russia)
• Thursday 01 February 2018, 15:00–16:00
• Venue: MR14, Centre for Mathematical Sciences.
• Series: Applied and Computational Analysis; organiser: A.Shadrin.