Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness

• Дата: 2023
• Автори: Serdyuk, A., Stepaniuk, T., Сердюк, Анатолій, Степанюк, Тетяна
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2023
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7411
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 On the sets of $2\pi$-periodic functions $f$ specified by the $(\psi, \beta)$-integrals of the functions $\varphi$ from $L_{1},$ we establish Lebesgue-type inequalities in which the uniform norms of deviations of the Fourier sums are expressed via the best approximations by trigonome...