Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions

• Дата: 2013
• Автори: Agoshkova, T. A., Агошкова, Т. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2510
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove the direct and inverse Jackson- and Bernstein-type theorems for averaged approximations of periodic functions of many variables by piecewise-constant functions with uniform partition of the period torus in metric spaces with integral metric given by a function ψ of the type of modulus of co...