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

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

2005-12-02

arxiv.org/abs/math/0512048v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

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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