Widths of classes of functions in the weight space $L_{2,\gamma}(\mathbb{R}), \gamma=\exp(-x^2)$

• Date: 2022
• Main Authors: Vakarchuk, S. B., Вакарчук, С. Б.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7147
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 In the space $L_{2,\gamma}(\mathbb{R})$ approximating characteristics of the optimizing sense have been considered for the classes $W^r_2(\Omega_{m,\gamma}, \varphi,\Psi; \mathbb{R}) := $ $:= \Big\{ f \in L^r_{2,\gamma}(D,\mathbb{R}) : \int\limits_0^t \Omega_{m,\gamma} (D^rf, u) \varphi(u)...