Rational approximation of classes of convolutions of periodic functions

• Date: 2013
• Author Affiliations: С. О. Чайченко — Донбаський державний педагогічний університет
• Keywords: keywords
• Main Authors: Chaĭchenko, S. O., Чайченко, С. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/190
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In this work  the rational approximation of the classes of $2 \pi$-periodic functions which represented by the convolution of the functions from $ L_p (0, 2 \pi] $ with fixed kernels, which are given in the form of the sum of series on the system of Takenaka-Malmquist are investigated....