Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions

We establish sharp estimates for the best approximations of convolution classes by entire functions of exponential type. To obtain these estimates, we propose a new method for testing Nikol’skiĭ-type conditions which is based on kernel periodization with an arbitrarily large period and ensuing passa...

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Veröffentlicht in:	Siberian mathematical journal 2017-03, Vol.58 (2), p.190-204
1. Verfasser:	Vinogradov, O. L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Convolution Entire functions Estimates Inequalities Kernels Mathematics Mathematics and Statistics Test procedures
Online-Zugang:	Volltext
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