Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities

We determine the exact values of the best (α, β)-approximations and the best one-sided approximations of classes of differentiable periodic functions by splines of defect 2. We obtain new sharp Jackson-type inequalities for the best approximations and the best one-sided approximations by splines of...

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Bibliographic Details
Date:2009
Main Authors: Babenko, V. F., Parfinovych, N. V., Бабенко, В. Ф., Парфинович, Н. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3113
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal