$K$-functionals and extreme problems of the theory of approximation of the classes of analytic functions in a circle. II
UDC 517.5 The exact values of the Kolmogorov, Bernstein, and trigonometric $n$-widths of the classes defined by using the Hadamard compositions, generalized $K$-functionals, and majorants are obtained in the Hardy, Bergman, and Gvaradze Banach spaces. The exact values of the upper boundaries of the...
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| Date: | 2022 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6981 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.5
The exact values of the Kolmogorov, Bernstein, and trigonometric $n$-widths of the classes defined by using the Hadamard compositions, generalized $K$-functionals, and majorants are obtained in the Hardy, Bergman, and Gvaradze Banach spaces. The exact values of the upper boundaries of the moduli of Fourier coefficients were also found in the indicated classes of functions. |
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| DOI: | 10.37863/umzh.v74i7.6981 |