Approximation of Periodic Functions of Many Variables by Functions of a Smaller Number of Variables in Orlicz Metric Spaces
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Date
2019
Authors
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Journal ISSN
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Publisher
Springer
Abstract
EN: For periodic functions of many variables, we propose a method for their approximation in the Orlicz spaces Lφ (T^m). According to this method, the functions are approximated by the sums of functions of smaller number of variables each of which is piecewise-constant in one variable for fixed values of the other variables. A Jackson-type inequality is analyzed for these approximations in terms of the mixed module of continuity.
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Keywords
approximation, recurrent functions, variables, metric spaces, КПМ
Citation
Babich Y. A., Mikhailova T. F. Approximation of Periodic Functions of Many Variables by Functions of a Smaller Number of Variables in Orlicz Metric Spaces. Ukrainian Mathematical Journal. 2019. Vol. 70. Iss. 8. P. 1319–1325. DOI: 10.1007/s11253-018-1571-3. (Ukrainian Original Vol. 70, No. 8, August, 2018).