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Best Bilinear Approximations for the Classes of Functions of Many Variables

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Ukrainian Mathematical Journal Aims and scope

We obtain upper bounds for the values of the best bilinear approximations in the Lebesgue spaces of periodic functions of many variables from the Besov-type classes. In special cases, it is shown that these bounds are order exact.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 12, pp. 1681–1699, December, 2013.

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Romanyuk, A.S., Romanyuk, V.S. Best Bilinear Approximations for the Classes of Functions of Many Variables. Ukr Math J 65, 1862–1882 (2014). https://doi.org/10.1007/s11253-014-0903-1

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  • DOI: https://doi.org/10.1007/s11253-014-0903-1

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