Estimations of Linear Widths of the Classes B p,θ Ω of Periodic Functions of Many Variables in the Space L q

Some estimates exact in order for linear widths of the classes $B^{\Omega}_{p, \theta}$ of periodic multivariable functions in the space $L_q$ with certain relations between the parameters $p$, $q,$ and $\theta$ are obtained. In the univariate case, the estimates exact in order for Kolmogorov and linear widths of the classes $B^{\omega}_{\infty, \theta}$ in the space $L_q$, $1 \leq q \leq \infty,$ are established.

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Estimations of Linear Widths of the Classes B p,θ Ω of Periodic Functions of Many Variables in the Space L q

Cited by 2 publications

References 10 publications

Linear and Kolmogorov Widths of the Classes $$ {B}_{p,\uptheta}^{\Omega} $$ of Periodic Functions of One and Several Variables

Linear and Kolmogorov Widths of the Classes $$ {B}_{p,\uptheta}^{\Omega} $$ of Periodic Functions of One and Several Variables

Linear and Kolmogorov widths of the classes B^{\Omega}_{p, \theta} of periodic functions of one and several variables

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