RICAM Events

Group Seminar

QMC: On approximation by multivariate Kantorovich-Kotelnikov sampling operators
Speaker: Yurii Kolomoitsev (Universität zu Lübeck)
Date: June 1, 2018 10:00
Location: SP2 416-1

Approximation properties of multivariate Kantorovich-Kotelnikov sampling type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The $L_p$-rate of convergence for these operators is given in terms of the classical moduli of smoothness. Several examples of the Kantorovich-Kotelnikov operators generated by the sinc-function and its linear combinations are provided. This is joint work with Maria Skopina (St. Petersburg State University).

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