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Best Approximations for the Cauchy Kernel on the Real Axis

We compute the values of the best approximations for the Cauchy kernel on the real axis $ℝ$ by some subspaces from $L_q (ℝ)$. This result is applied to the evaluation of the sharp upper bounds for pointwise deviations of certain interpolation operators with interpolation nodes in the upper half plan...

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Bibliographic Details
Date:	2014
Main Authors:	Savchuk, V. V., Chaichenko, S. O., Савчук, В. В., Чайченко, С. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2014
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2244
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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