Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces ${\mathcal S}^{p}$

• Дата: 2021
• Автори: Abdullayev, F., Serdyuk, Anatolii, Shidlich, A., Абдуллаев, Ф. Г., Сердюк, А. С., Шидліч, А. Л., Абдуллаєв, Ф. Г.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/6432
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We obtain exact Jackson-type inequalities in terms of best approximations and averaged values of generalized moduli of smoothness in spaces ${\mathcal S}^p$. For classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness, the Kolmogorov, Bernstein, linear, and projective widths in the spaces ${\mathcal S}^p$ are found.