Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
| Autor: | V Viktoriya Shkapa, M M Hanna Hanna Vlasyk, V Iryna Zamrii |
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| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Approximations of π BETA (programming language) Applied Mathematics General Mathematics 010102 general mathematics Space (mathematics) 01 natural sciences 010305 fluids & plasmas Periodic function Combinatorics 0103 physical sciences Metric (mathematics) 0101 mathematics Trigonometry computer Mathematics computer.programming_language |
| Zdroj: | Journal of Mathematical Sciences. 246:110-119 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-020-04725-0 |
| Popis: | Some approximative characteristics of classes of periodic functions of many variables $$ {L}_{\beta, p}^{\psi }, $$ 1 < p < 1, in a uniform metric are investigated. The first part of the paper is devoted to the construction of estimates of the best orthogonal trigonometric approximations of the mentioned classes in the space L∞. In the second part, we have established the ordinal estimates of the orthoprojective widths of the classes $$ {L}_{\beta, p}^{\psi }, $$ 1 < p < 1, in the same space, as well as the estimates of another approximative characteristic which is close, in a definite meaning, to the orthoprojective width. |
| Databáze: | OpenAIRE |
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