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

abstract

• 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

authors

• Foucart, Simon

published proceedings

• CONSTRUCTIVE APPROXIMATION

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

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

keywords

• Exact Constants
• Jackson-stechkin Inequality
• R-th Modulus Of Smoothness

Digital Object Identifier (DOI)

• 10.1007/s00365-008-9039-6

start page

• 157

end page

• 179

volume

• 29

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00365-008-9039-6