Dimeters in $L_2$ classes of differentiated functions determined by continuity moduli of higher orders

• Дата: 1991
• Автори: Shalaev , V. V., Шалаев , В. В.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1991
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/9317
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Sharp inequalities are obtained in the space $L_2$, connecting the best approximations of differentiable $2\pi$-periodic functions by trigonometric polynomials with integrals containing the higher-order moduli of continuity of the derivatives of these functions. The Kolmogorov widths of certain clas...