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Seminar on Theory of Functions of Real Variables
December 13, 2024 18:30–20:00, Moscow, MSU main building, room 14-03, Yandex Telemost
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Cross approximation of functions of two variables.
P. A. Borodinabc
a Moscow Center for Fundamental and Applied Mathematics
b Laboratory "Multidimensional Approximation and Applications", Lomonosov Moscow State University, Moscow
c Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract:
The talk is devoted to approximation of a given function $f(x,y)$ by linear combinations of its crosses $f(a,y)f(x,b)$. We present two new conditions on $f$ sufficient for the partial convergence of its max-cross approximations. We also plan to give an example of a function which cannot be approximated uniformly by linear combinations of its crosses. Joint work with Yu. A. Skvortsov.
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