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Best Linear Approximation Methods for Some Classes of Analytic Functions on the Unit Disk |
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| Authors: | Shabozov M Sh Langarshoev M R |
| Institution: | 1.University of Central Asia, Tajik National University, Dushanbe, Tajikistan ;2.Tajik National University, Dushanbe, Tajikistan ; |
| Abstract: | Considering Banach Hardy spaces and weighted Bergman spaces, we find the sharp values of the Bernstein, Kolmogorov, Gelfand, and linear n-widths for the classes of analytic functions on the unit disk whose moduli of continuity of the rth derivatives averaged with weight are majorized by a given function satisfying some constraints. |
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