Bohr--Favard Inequality for differences and constants in Jackson--Stechkin Theorem

Y. Kryakin

备注：: 6 pages

英文摘要：

We consider uniform approximations by trigonometric polynomials. The aim of the paper is to obtain good estimates of the Jackson--Stechkin constants $J_m$. We prove that $ J_m \le C 2^{-m+5/2\log_2m}$. Our proof is based on the difference analogue of the Bohr--Favard inequality.

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