On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$

  • A.B. Metelichenko

Abstract

We consider certain modified interpolation polynomials for functions from the space $L_p \;[0, 2π], 1 ≤ p ≤ ∞$. An estimate for the rate of approximation of an original function f by these polynomials in terms of its modulus of continuity is obtained. We establish that these polynomials converge almost everywhere to $f$.
Published
25.01.2004
How to Cite
MetelichenkoA. “On the Approximation by Modified Interpolation Polynomials in Spaces $L_p$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 1, Jan. 2004, pp. 70-77, https://umj.imath.kiev.ua/index.php/umj/article/view/3728.
Section
Research articles