On $T_{2n-1}^\perp$ spaces

Mathematics – Classical Analysis and ODEs

Scientific paper

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13 pages, 2 figures

Scientific paper

This paper is devoted to the inequalities for mean values of functions from
$T_{2n-1}^\perp$. The simple proof of the classical Jackson inequality in the
case of the second modulus of continuity may be considered as the consequence
of our estimates. The problems of the sharp constants in classical Stechkin's
inequality are also discussed.

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