On a Jackson-Type Inequality in the Approximation of a Function by Linear Summation Methods in the Space $L_2$

• Дата: 2003
• Автори: Bozhukha, L. N., Божуха, Л. Н.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3927
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove a statement on exact inequalities between the deviations of functions from their linear methods (in the metric of $L_2$) with multipliers defined by a continuous function and majorants determined as the scalar product of the squared modulus of continuity (of order r) in $L_2$ for the lth de...