Applied and Computational Analysis Seminars
Generalised Sampling Approximation Theorems
With Maria Skopina (St.Petersburg University, Russia)
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.