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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106061We 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.6 pagesClassical Analysis and ODEs42A10 (Primary), 42A05 (Secondary)Bohr--Favard Inequality for differences and constants in Jackson--Stechkin Theoremtext