BestL1-approximations of classes $W_1^r$ by Splines from $W_1^r$

We obtain the exact values of the best $L_1$-approximations of the classes $W_1^r$ of periodic functions by periodic polynomial splines of degree $r$ and defect 1 with equidistant knots that belong to the class $W_1^r$.

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Bibliographic Details
Date:1994
Main Authors: Babenko, V. F., Бабенко, В. Ф.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5622
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal