On the Exact Constant in the Jackson-Stechkin Inequality for the Uniform Metric Academic Article uri icon


  • The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a 2-periodic function f by trigonometric polynomials of degree n-1 in terms of its r-th modulus of smoothness r (f,). It reads En-1(f) cr r (f, 2 /n), where c r is some constant that depends only on r. It has been known that c r admits the estimate c r

published proceedings


author list (cited authors)

  • Foucart, S., Kryakin, Y., & Shadrin, A.

citation count

  • 28

complete list of authors

  • Foucart, S||Kryakin, Y||Shadrin, A

publication date

  • April 2009