On the Approximation by Modified Interpolation Polynomials in Spaces Lp
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.Downloads
Published
25.01.2004
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Section
Research articles
How to Cite
Metelichenko, A.B. “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.