On the exact constant in Jackson-Stechkin inequality for the uniform metric
S. Foucart, Yu. Kryakin, A. Shadrin
Abstract
The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function by trigonometric polynomials of degree n-1 in terms of its r-th modulus of smoothness ωr(f,δ). The main result of the paper is in establishing the correct order of Jackson--Stechkin constants.
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