Approximations in spaces of locally integrable functions

We study approximations of functions from the sets $\hat{L}^{\psi}_{\beta}\mathfrak{N}$, which are determined by convolutions of the following form: $$f(x) = A_0 + \int\limits_{-\infty}^{+\infty}\varphi(x + t) \hat{\psi}_{\beta}(f)dt, \quad \varphi \in \mathfrak{N},\quad \hat{\psi}_{\beta} \in L(-\i...

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Bibliographic Details
Date:1994
Main Authors: Stepanets, O. I., Степанець, О. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5722
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal