On relative widths of classes of multivariable functions that are defined as a convolution

L. Azar

doi:10.15421/249801

On relative widths of classes of multivariable functions that are defined as a convolution

L. Azar (Dnipropetrovsk State University)

Abstract

We find exact order of estimate of relative widths in $$$L_1$$$ space of classes of periodic multivariable functions that are defined as a convolution of the product of one-dimensional kernels with functions from unit ball of $$$L_1$$$ space. By this we generalize known results on relative widths of classes of functions that are defined by bounds for $$$L_1$$$-norms of mixed derivatives.

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