Exact values of widths for the classes of functions defined by the averaged smoothness characteristics and majorants in the space $L_2$

• Datum: 2026
• Hauptverfasser: Vakarchuk, S., Zabutna, V., Vakarchuk, M., Вакарчук, Сергій, Забутна, Валентина, Вакарчук, Михайло
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9225
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 Exact values of various widths are determined in the space $L_2$ for the classes $2\pi$-periodic functions constructed with the use of the averaged smoothness characteristics and majorants under certain restrictions imposed on the majorants. Several specific examples are considered with an...