We establish order estimates for the linear widths of the classes B r p,θ of periodic functions of many variables in the space L q for some relationships between the parameters p, q, and θ.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 7, pp. 970–982, July, 2014.
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Romanyuk, A.S. On the Problem of Linear Widths of the Classes B r p,θ of Periodic Functions of Many Variables. Ukr Math J 66, 1085–1098 (2014). https://doi.org/10.1007/s11253-014-0996-6
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DOI: https://doi.org/10.1007/s11253-014-0996-6