On one inequality for the moduli of continuity of fractional order generated by semigroups of operators

• Дата: 2019
• Автори: Bezkryla, S. I., Nesterenko, A. N., Chaikovs'kyi, A. V., Безкрила, С. І., Нестеренко, О. Н., Чайковський, А. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2019
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1441
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A new inequality for the moduli of continuity of fractional order generated by semigroups of operators is obtained. This inequality implies a generalization of the well-known statement that there exists an $α$-majorant, which is not a modulus of continuity of order $α$ generated by a semigroup of op...