Inequalities of the Jackson Type in the Approximation of Periodic Functions by Fejér, Rogosinski, and Korovkin Polynomials

• Дата: 2000
• Автори: Bozhukha, L. N., Божуха, Л. Н.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4563
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider inequalities of the Jackson type in the case of approximation of periodic functions by linear means of their Fourier series in the space L 2. In solving this problem, we choose the integral of the square of the modulus of continuity as a majorant of the square of the deviation. We establ...