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Averaged characteristics of smoothness in $L_2$ and estimations for the widths values of function classes

UDC 517.5 In the space of $2\pi$-periodic functions $L_2,$ we investigate the characteristic of smoothness $\omega^{*}_{\mathcal{M}}(f,t):=$ $(1/t) \displaystyle\int\nolimits_0^t \omega_{\mathcal{M}}(f,\tau) d \tau $ obtained as a result of averaging of the generalized modulus of continuity $\omeg...

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Bibliographic Details
Date:	2025
Main Authors:	Vakarchuk, S., Zabutna , V., Vakarchuk, M., Вакарчук, Сергій, Забутна, Валентина, Вакарчук, Михайло
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8794
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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