Best “Continuous” n-Term Approximations in the Spaces \(S_\phi ^p \)

Abstract

We find exact values of upper bounds for the best approximations of q-ellipsoids by polynomials of degree n in the spaces \(S_\phi ^p \) in the case where the approximating polynomials are constructed on the basis of n-dimensional subsystems chosen successively from a given orthonormal system ϕ.

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Stepanets, A.I., Rukasov, V.I. Best “Continuous” n-Term Approximations in the Spaces \(S_\phi ^p \) . Ukrainian Mathematical Journal 55, 801–811 (2003). https://doi.org/10.1023/B:UKMA.0000010257.54302.4a

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Keywords

  • Orthonormal System