The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I

Approximations are studied of the classes $B_{p,\theta}^r$of periodic functions of several variables with the help of trigonometric polynomials with a given number of harmonics. The results obtained are used to establish order estimates of the approximation of functions of the form $f(x - y)$, $f (x...

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Bibliographic Details
Date:1992
Main Authors: Romanyuk, A.S., Романюк, А.С.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8257
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal