Approximation in the mean of the classes of functions in the space $L_2[(0,1);x]$ by the Fourier–Bessel sums and estimates of the values of their $n$-widths

UDC 517.5 In the space  $L_2[(0,1);x],$  by using a system of functions $\left\{ \widehat{J}_{\nu}(\mu_{k,\nu} x) \right\}_{k \in \mathbb{N}},$ $\nu \geqslant 0,$  orthonormal with weight $x$ and formed by the Bessel funct...

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Bibliographic Details
Date:2024
Main Authors: Vakarchuk, S., Vakarchuk, M., Вакарчук, Сергій, Вакарчук, Михайло
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7763
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal