Abstract

УДК 517.5 MSC: 41A44, 41A46, 33C10 DOI: 10.21538/0134-4889-2023-29-1-259-279 In this paper, we have solved several extremal problems of the best mean-square approximation of function $f$, on the semiaxis with a power-law weight, which can be used to solve various problems. Sharp Jackson–Stechkin type inequalities are obtained on some classes of functions in which the values of

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