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Best M-term trigonometric approximations of the classes \( B^{\Omega }_{{p,{\text{ $ \theta $ }}}} \) of periodic functions of many variables in the space L q

Ukrainian Mathematical Journal Aims and scope

We obtain order estimates for the best M-term trigonometric approximations of the classes \( B^{\Omega }_{{p,{\text{ $ \theta $ }}}} \) of periodic functions of many variables in the space L q for several values of the parameters p and q.

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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 9, pp. 1196–1214, September, 2008.

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Konohrai, A.F., Stasyuk, S.A. Best M-term trigonometric approximations of the classes \( B^{\Omega }_{{p,{\text{ $ \theta $ }}}} \) of periodic functions of many variables in the space L q . Ukr Math J 60, 1396–1417 (2008). https://doi.org/10.1007/s11253-009-0144-x

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  • DOI: https://doi.org/10.1007/s11253-009-0144-x

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