Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space $L_2 (R)$. II

• Дата: 2018
• Автори: Vakarchuk, S. B., Вакарчук, С. Б.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2018
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1640
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the second part of the paper, we establish the exact Jackson-type inequalities for the characteristic of smoothness $\Lambda^w$ on the classes of functions $L^{\alpha}_2 (R)$ defined by the fractional derivatives of order $\alpha \in (0,\infty )$ in the space $L_2(R)$. The exact values of the m...