On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions
Copyright policy )On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions
Summary: Nonperiodic analogs are obtained of the known inequalities which estimate \(L_{p}\)-norms of intermediate derivatives of a periodic function in terms of \(L_{\infty}\)-norms and the higher derivative of the considered function.
Kolmogorov type inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness), norms, nonperiodic function
Kolmogorov type inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness), norms, nonperiodic function
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