| Abstrakt: |
Sharp Jackson–Stechkin-type inequalities, in which the best polynomial approximation of a function in the Hardy space is estimated from above, both in terms of the generalized modulus of continuity of the th order and in terms of the -functional of th derivatives, are found. For some classes of functions defined with the formulated characteristics in the space , the exact values of -widths are calculated. Also in the classes and , where and , the exact values of the best polynomial approximations of intermediate derivatives , are obtained. [ABSTRACT FROM AUTHOR] |
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